Limits of Trigonometric Functions

  Рет қаралды 1,792,825

The Organic Chemistry Tutor

The Organic Chemistry Tutor

6 жыл бұрын

This calculus video tutorial provides a basic introduction into evaluating limits of trigonometric functions such as sin, cos, and tan. It contains plenty of examples and practice problems.
Introduction to Limits: • Calculus 1 - Introduct...
How To Evaluate Limits From a Graph:
• How To Evaluate Limits...
Evaluating Limits By Factoring:
• Evaluating Limits By F...
Limits of Rational Functions :
• Limits of Rational Fun...
Limits of Radical Functions:
• How To Evaluate Limits...
Limits of Trigonometric Functions:
• Limits of Trigonometri...
___________________________________
How To Find The Limit at Infinity:
• How To Find The Limit ...
Infinite Limits + Vertical Asymptotes:
• Infinite Limits and Ve...
Limits at Infinity With Radicals:
• Limits at Infinity Wit...
Limits of Absolute Value Functions:
• Limits and Absolute Value
Limits of Composite Functions:
• How To Find The Limit ...
The Squeeze Theorem:
• Squeeze Theorem
____________________________________
Limits and Logarithms:
• Limits and Logarithms
Limits of Exponential Functions:
• Limits of Exponential ...
Piecewise Functions - Limits:
• Piecewise Functions - ...
3 Step Continuity Test:
• 3 Step Continuity Test...
Continuity and Differentiability:
• Continuity and Differe...
Limits - Test Review:
• One Sided Limits, Grap...
_____________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 607
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor Жыл бұрын
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/rqepoqKjhNV_qNU
@MikeChipili
@MikeChipili Ай бұрын
😮
@mathias_dangi_265
@mathias_dangi_265 22 күн бұрын
Are you able to prove that (3w/sin3w)=1, because the only thing I could remember in my calculus class is to prove that (sinx/x)=1. Or do you take a resprocal of it?
@mya4855
@mya4855 4 жыл бұрын
when you said "make sure your calculator is in radian mode by the way", the world made sense once again.
@venutiansplane3022
@venutiansplane3022 3 жыл бұрын
Me too my friend everything fell into place, there was no past nor future the world aligned and the heavens above blew the horns and twas beautiful and it made sense.... Twas zen.
@wm396
@wm396 3 жыл бұрын
How do you do that
@mya4855
@mya4855 3 жыл бұрын
@@wm396 depends what calculator you have?
@sevirouskemerut975
@sevirouskemerut975 3 жыл бұрын
ur comment is a life saver
@wenwen8237
@wenwen8237 3 жыл бұрын
can anyone answer me why it should be radian mode btw
@lillian5353
@lillian5353 4 жыл бұрын
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@erojerisiz1571
@erojerisiz1571 3 жыл бұрын
By this point he can just make videos for every known course and we would no longer need school
@youngscott1074
@youngscott1074 3 жыл бұрын
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@bridramirez6760 3 жыл бұрын
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@iNoodl3s 3 жыл бұрын
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@captainrogerdodger144 2 жыл бұрын
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@jemilieredito2498
@jemilieredito2498 2 жыл бұрын
(sin x) (x) = x sin x (sin x) (sin x) = sin^2 x So it should be limit of sinx/x as x approaches 0 times limit of sin x as x approaches 0. Though the answer is still 0, there’s a problem in the process. Thanks.
@peorannoane2873
@peorannoane2873 2 жыл бұрын
Thought i was the only one. (^^)
@kanzhilillay
@kanzhilillay Жыл бұрын
I was literally looking for this comment
@Bromosomo
@Bromosomo Жыл бұрын
preach
@DEYIINTEL
@DEYIINTEL Жыл бұрын
I thought I'd be the first to correct this but here it is
@FlowinZen
@FlowinZen Жыл бұрын
This correction is for what time in the video?
@edwardn.8938
@edwardn.8938 3 жыл бұрын
I think I speak for millions of others when I say that you have been the most consistent and high-quality math tutor on this site.
@saml8802
@saml8802 5 жыл бұрын
Listen my math prof has been trying to teach this for weeks and when you hit that opening statement and explained it in a way that made sense i nearly came
@sibongisenidumakude9650
@sibongisenidumakude9650 5 жыл бұрын
wait wat?
@YouVerseUSA
@YouVerseUSA 5 жыл бұрын
Umm too much information dude
@kelly1572
@kelly1572 5 жыл бұрын
Huhh
@mikaeels2691
@mikaeels2691 5 жыл бұрын
lol thats the best feeling
@ankitaaarya
@ankitaaarya 4 жыл бұрын
@@gulshan8187 haha haha... No she meant different thing i guess
@dnz_yt5
@dnz_yt5 2 жыл бұрын
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@wanjirurandolph242
@wanjirurandolph242 4 жыл бұрын
this channel and professor leonard is carrying me in my calc classes
@shivamsharma-wm1ob
@shivamsharma-wm1ob 3 жыл бұрын
+infinity
@kristalmartinez8220
@kristalmartinez8220 3 жыл бұрын
girl same!!
@zxynb
@zxynb 2 жыл бұрын
omg thank youu, i didnt know about professor leonard
@Maya-xs9xn
@Maya-xs9xn 2 жыл бұрын
He's a gem. My real teacher in all my math sequence. I tip my hat for professor Leonard.
@clarynvanniekerk665
@clarynvanniekerk665 2 жыл бұрын
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@tatortrader526
@tatortrader526 5 жыл бұрын
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@nerijoyceobedoza
@nerijoyceobedoza 3 ай бұрын
We don't even allowed to use a calculator😭. They required us to solve it manually
@stefexx7691
@stefexx7691 4 жыл бұрын
This man blessed me before my limits exams
@junealeinalgarne6943
@junealeinalgarne6943 3 жыл бұрын
oh my god, thank you so much for mentioning that the calcu should be in radian mode. I've been crying over my wrong answers for weeks, this is my 3rd breakdown this week and I can finally answer my long overdue assignment, thank u so much, may you be blessed for the rest of your life and the next.
@danstaniigenova4865
@danstaniigenova4865 2 жыл бұрын
Since I was 9th Grade on my Junior High School, this man always saves me from getting failed scores, now I'm taking my first year in BS Mechanical Engineering, this man still helps me understand my lessons, because I'm having difficulties to cope up when we had online learning.
@retrocd
@retrocd Жыл бұрын
I'm in my first year of college too, he's saving my semester
@DKJhub
@DKJhub Жыл бұрын
Me too! He's the one taking me through my BS Civil Engineering.
@riastr0
@riastr0 11 ай бұрын
@@DKJhub Same. He's taking me through aerospace engineering B.S
@djdanzo206
@djdanzo206 Ай бұрын
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@tysonkoch468
@tysonkoch468 3 жыл бұрын
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@kailieannkimminjinji1855
@kailieannkimminjinji1855 4 жыл бұрын
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@med-tricks5719
@med-tricks5719 4 жыл бұрын
👍
@husseinalhadi5471
@husseinalhadi5471 6 жыл бұрын
Excellent video at 13:43 mark shouldn't Sin ^2 = sin (x) X Sin (x) not sin (x) X x
@agent-if9jb
@agent-if9jb 6 жыл бұрын
agreed.
@marknzuri9119
@marknzuri9119 6 жыл бұрын
Yeah I thought so too!
@aliu760
@aliu760 5 жыл бұрын
yeah I saw that mistake
@benjaminm3180
@benjaminm3180 5 жыл бұрын
Since sin(x) using the unit circle equates to zero, and x is approaching zero (so you plug in zero), either way you write it will be multiplying by zero. I’ll admit I had to pause the video to think about it for a minute to completely understand what he meant but the way he wrote it is still technically viable.
@silas_mwanikitv
@silas_mwanikitv 5 жыл бұрын
Yeah! Sure
@abhishekgamer9576
@abhishekgamer9576 Жыл бұрын
Best teacher on the internet i have seen. He don't even introduce himself and teaches excellent.less time and more knowledge .Thank you!
@1829Emily
@1829Emily 3 жыл бұрын
Thank you so much for this video! You’re saving me once again. I always look for your videos when I struggle with math or chemistry
@rodrj18
@rodrj18 2 жыл бұрын
Now thank you so much. Calculus is hard, yet people like you made it easier.
@evelinortiz7334
@evelinortiz7334 2 жыл бұрын
You sir just made everything my professor taught make sense. Doing gods work 👏
@Calliflower
@Calliflower 2 жыл бұрын
You never fail to wake me up from procrastination due to piles and piles of modules to read. Thank you for such elaborate way of teaching us.
@ninjanigabiyown4253
@ninjanigabiyown4253 2 жыл бұрын
The problem where there is sin²x It should be (sinx)(sinx) instead of (sinx)(x).
@evansraila5519
@evansraila5519 Жыл бұрын
It'll still be the same i think...
@Bbqeee
@Bbqeee Жыл бұрын
​@@evansraila5519 yes bc (sinx/x) will be 1 And as x→0 (sinx) will be 0 So 1*0 will be 0
@laizat.1300
@laizat.1300 3 жыл бұрын
Isn't it that sin^2 x = (sin x)(sin x)? Why is it that at around 13:36 of this video, the sin^2 x became (sin x)(x)? Although, the final answer is still gonna be the same. I just got confused. I am hoping for your reply. Thank you. :)
@m.rizaarrafi411
@m.rizaarrafi411 2 жыл бұрын
i was about to say that, i think he made a little mistake right there
@guycha0s380
@guycha0s380 2 жыл бұрын
Yup, it's a mistake
@luckyhappyfish3267
@luckyhappyfish3267 2 жыл бұрын
i thought i was retarted
@justanotherhuman9303
@justanotherhuman9303 2 жыл бұрын
Yes
@michaelceazartiosing7115
@michaelceazartiosing7115 2 жыл бұрын
Looking at the comments checking if I'm the only one. 😆
@youssefabdalla3946
@youssefabdalla3946 2 жыл бұрын
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@marknzuri9119
@marknzuri9119 6 жыл бұрын
You have the best videos!! My teacher has a strong Russian accent so I don’t understand but you’ve really helped me out....thanks
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@reagan6743 5 жыл бұрын
I love your teaching style! its not too fast but its still fast enough to keep people engaged
@StarsStillHere
@StarsStillHere Жыл бұрын
You are singlehandedly carrying me through my AP Calculus course ILY
@RyanBurnsRed
@RyanBurnsRed 4 жыл бұрын
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@okay2992
@okay2992 4 жыл бұрын
thank you so much for this clear explanation. You are clearly the best teacher.
@viniciush.6540
@viniciush.6540 3 жыл бұрын
you helped me in 1 question but you already deserve a thanks. Thanks!
@aminamozumder8537
@aminamozumder8537 6 жыл бұрын
I loved the vedio soooo much it was so freaking helpful please please do more vedio on more complicated problems. Plleeaaassseee!!!!!
@hellozukohere6514
@hellozukohere6514 3 жыл бұрын
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@bennyteferra7834
@bennyteferra7834 5 жыл бұрын
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@ignantxxxninja
@ignantxxxninja 4 жыл бұрын
thanks mystery guy.. My College professor tried to explain some of these and complicated it. I appreciate you
@Daysleaf
@Daysleaf 4 жыл бұрын
you guys learn these at college ? i'm in 11th grade and we have these stuff
@ignantxxxninja
@ignantxxxninja 4 жыл бұрын
Yup they also have algebra and geometry and some colleges have more basic ones. A lot of technical universities offer calculus but that’s like basic
@ianruiz6350
@ianruiz6350 2 жыл бұрын
I'm just here scrolling down through comments seeing everybody somehow understanding even though he never explained the why of things. 3:14 how did he know that he had to multiply by 5? 5:39 how did he know he had to multiply top and bottom by 2? 7:33 how did he know he had to do THAT? I just don't see a pattern at all. It feels like he's explaining how to do the specific problems rather than teaching us how to analyze problems on our own. I'm gonna be solving all of these thinking I understand them then when the tests arrives I won't even be able to know where to start or how to tackle the problem.
@ahmedmujahibramos1248
@ahmedmujahibramos1248 2 жыл бұрын
up
@Nobodys19
@Nobodys19 Жыл бұрын
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@WolfguyBravo
@WolfguyBravo Жыл бұрын
Im just a bored yr9 kid, I now know how to do basic Limits thanks to this guy! 👍
@simone-hg3gm
@simone-hg3gm 3 жыл бұрын
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@user-xq3jq3cf2f
@user-xq3jq3cf2f 5 жыл бұрын
Thank you Prof. You explain it better than my teacher. I always rely on your KZbin channel to pass math and science courses.
@saaturnslover
@saaturnslover 6 ай бұрын
The way you explain things is so beautiful and simple, you have saved my grade time and time again
@redphoneix4179
@redphoneix4179 4 жыл бұрын
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@paulangelolimboy2859
@paulangelolimboy2859 3 жыл бұрын
this video was very helpful for my online classes in calculous. Its hard to learn math through just pdfs. Glad I saw this!
@athanbernacer5634
@athanbernacer5634 2 жыл бұрын
Simplicity is the Key 🗝️🗝️. Love this Topic
@X1GenKaneShiroX
@X1GenKaneShiroX 4 жыл бұрын
Trying to find the limits of trigonometric functions are probably one of the most complicated things when entering to the realm of calculus.
@scorpionz44
@scorpionz44 5 жыл бұрын
why are these better than any teacher i have. wtf is the point of skool in 2019...
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@harjitsingh7308 5 жыл бұрын
Now don't hate education because you have had a bad experience at your school. I don't have a good school either but I'm sure many people out there are blessed with Excellent teachers at an excellent school
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@harjitsingh7308 5 жыл бұрын
I just wish i was at those good schools lol
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@kelly1572 5 жыл бұрын
To help you spell school
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@nonhlakaniphomkhulisi1210 Жыл бұрын
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@hamimzawad9927
@hamimzawad9927 Жыл бұрын
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@bsflipgawd8238
@bsflipgawd8238 2 жыл бұрын
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@da_knug 3 жыл бұрын
Great video, thank you!
@nobody2379
@nobody2379 7 ай бұрын
The only channel with 0 negative comentss 😂
@samkelenibe2018
@samkelenibe2018 6 жыл бұрын
Very clear and easy to understand. Thank you.
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@rockyuvan5185 4 жыл бұрын
excellent teacher i had ever seen..
@charliebardey1990
@charliebardey1990 Жыл бұрын
can someone explain why at 13:48 (sin^2 x)/x becomes (sinx)/x * x???
@scienceappreciator
@scienceappreciator 7 ай бұрын
typo
@animemf3453
@animemf3453 2 жыл бұрын
this was posted in 2018 but your helping me now almost in 2022 thankyou very much brother
@julianburchard6049
@julianburchard6049 3 жыл бұрын
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@loqamuhamed6696 3 жыл бұрын
You just saved me and my gpa thanks a lot 🙏
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@tobiolukoya7202 Жыл бұрын
I have my geg exams coming up and I just started studying a week before, this video has been very helpful. I had zero idea before this video, you’re amazing keep up the good work!
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@tulmajok3562 3 жыл бұрын
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@aryaanvarma3523
@aryaanvarma3523 Жыл бұрын
Absolute king - the greatest tutor on planet earth
@titananni3
@titananni3 Жыл бұрын
thank you king u carried me in physics last year and ap calc this year
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@user-nb5it4pi3j 8 ай бұрын
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@ruffsagapito9340
@ruffsagapito9340 2 жыл бұрын
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@IMPOSTER3144
@IMPOSTER3144 3 жыл бұрын
ur videos are very helpful thaaaaaank youu and god bless you
@IMathTutorial
@IMathTutorial 3 жыл бұрын
Thank you
@user-mh5oq4vl4d
@user-mh5oq4vl4d 8 ай бұрын
Great thanks to the voice behind the video
@georgesadler7830
@georgesadler7830 Жыл бұрын
MR. Organic Chemistry Tutor, thank you for calculating Limits of Trigonometric/Transcendental Functions in Calculus. Thanks to the viewer(s) for correcting the error on (Sinx)^2/x in the video. Although the final answer is correct, the method is incorrect.
@danielalmond306
@danielalmond306 2 жыл бұрын
this helped so much thank you!!!
@mackenziekolb5936
@mackenziekolb5936 7 ай бұрын
I finally understand how to do this after struggling with it for 3 years... thanks dude
@congyu3396
@congyu3396 3 жыл бұрын
Thank you it helped me so much
@ulayla1605
@ulayla1605 3 жыл бұрын
thank you for this!
@abdinasirmohamed9085
@abdinasirmohamed9085 6 жыл бұрын
Hi guy thanks you are realy my teacher you helpe me more as I preparing firt degree of maths so thanks more times expand your effort please and also add to us limit as formal by using dalta and absulute preciece
@kunshanand1433
@kunshanand1433 3 жыл бұрын
incredibly helpful
@mangaoangrhonieleledaveroq9318
@mangaoangrhonieleledaveroq9318 Жыл бұрын
Thanks bro! I survived in my test because of this video!♥️
@alyssacoto3554
@alyssacoto3554 5 ай бұрын
Thank you sm MATH IS MAKING SENSE
@whyme6565
@whyme6565 Жыл бұрын
The first opening sentence. Thank my dude everything make sense now.
@sumitham9370
@sumitham9370 8 ай бұрын
Thank u it was easy to understand
@mici_no2832
@mici_no2832 Жыл бұрын
this helps a lot, thanks.
@mowa3942
@mowa3942 5 жыл бұрын
His voice is amazing...
@St_Small
@St_Small Ай бұрын
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@nikcname8321 2 жыл бұрын
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@ahmadmahmoudi5460 Жыл бұрын
you saved me, thank you
@chimwemwesinkala4402
@chimwemwesinkala4402 3 жыл бұрын
extremely helpful
@milesmiller6554
@milesmiller6554 Жыл бұрын
Absolute chad. I have a midterm in half an hour and this man is the only reason I feel confident.
@charliechaplin53
@charliechaplin53 2 жыл бұрын
i think there was a mistake instead of sinx*sinx, you wrote sinx*x. Infact limit when x approaches 0 of sin^2(x)/x = 0
@pratikshatumbapo5171
@pratikshatumbapo5171 3 жыл бұрын
this man's a genius.
@ninthseeker2541
@ninthseeker2541 2 жыл бұрын
Thank you!
@sugarbibi5359
@sugarbibi5359 3 жыл бұрын
dude, your explanation is easier to understand than my teacher's
@user123SSL
@user123SSL Жыл бұрын
Thank you.
@nasasiraraban-ju6qc
@nasasiraraban-ju6qc Жыл бұрын
A fantastic lecture
@killer0200318
@killer0200318 5 жыл бұрын
I found the sin7x/sin3x strategy very helpful.
@hstivggfghyhgfg8359
@hstivggfghyhgfg8359 Жыл бұрын
Yo are a live saver thank you so much man
@oswan2185
@oswan2185 2 жыл бұрын
KZbin is really getting audacious with their ads. 2 ads !!!! That I can’t skip
@timwei9003
@timwei9003 3 жыл бұрын
thank you very much!
@MikeSpence25
@MikeSpence25 2 жыл бұрын
You went crazy in this vid 🤞🤞🤞
@chaeyoungsroarcuredmydepre8816
@chaeyoungsroarcuredmydepre8816 4 жыл бұрын
Thank you sooo much for this videooo
@xenovos8895
@xenovos8895 Жыл бұрын
Thanks!
@e10etcreature43
@e10etcreature43 5 жыл бұрын
Thanks a lot
@matomeharry1882
@matomeharry1882 2 жыл бұрын
awesome work
@wonder052
@wonder052 3 жыл бұрын
THANK YOU SO MUCH
@sarahrose6612
@sarahrose6612 Жыл бұрын
how come this man can teach me more in 15 minutes than an 80 minute calc class?😂
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