❖ Limits Involving Absolute Value ❖

[@revenger211]

11 years ago I was 4, never expected that a video made when i was 4 could help me in my Calculus class later on :D

[@Tyler_henry]

Bro you 15 doing calculus 😂

[@eshankhan6087]

another 15 year old doing calc nice

[@pinklady7184]

What is the title of your math book that you are reading this year in school?

[@bryancbg4684]

Me too 😂

[@mohammedmuneeb6888]

Bruh I was 4 in 2009 too, lol. And here I am 12 years later, watching calculus videos.

[@Kelysyan]

The way you broke this down was much better than how I was taught. You explained it in a way I could understand, and now I feel confident in ace-ing my test tomorrow. I only got 46% on my first try, and luckily I have a chance at a retest tomorrow. 100% here I come!

[@AhmedHasan-nj2vv]

You're a math wizard, very clear, very expressive, and you make us love math!! I'm EXTREMELY grateful to you Mr. Patrick

[@pyramat2584]

At 9:41 "Two over x. That's just gonna be a shit- or a-a-stretch." I died.

[@Elk9]

I learned at school that the limit of IxI existed only in right and left hand limit form. Thanks to your explanation, now I know the reason for it. Your videos are always valuable for those who seek mathematical knowledge.

[@MrUndacovabrova]

You know, I used to think the educational system was in shambles up until college, where dedicated professors built up the intellectual integrity of the individual. BULLSHIT. I'm in college and PatrickJMT has succeeded where teachers who are paid handsomely have failed. And IT'S FREE. Thank you, you've saved me from failing my finals :)

[@GoodKingMody]

13 years later and it still is a fantastic video, thanks man!

[@pollyh3190]

Make that 14 years, But who is differentiating

[@EpicAlaskanCod]

I just learned what my teacher was trying to teach in a whole class in 10 mins. I love you

[@taters1123]

PatrickJMT for President. There, I said it. #PatrickJMT2016

[@Coolpuppies80]

Better than trump

[@108mtsan]

PatrickJMt will run the government with mathematical logic and function; pure governance!

[@VndNvwYvvSvv]

"Hurrdurr better than DrUmPhhhh" Political parties are like an absolute value function: They only give the illusion of a different result. They work together to the same ends. ;)

[@williamho6602]

patrick, you make calculus so easy it's stupid. Whenever I need practice problems when I feel unconfident, I just go to your videos and practice. I just wanna kiss you irl man, even tho i'm a guy. I'm gonna ask my parents to support you on patreon man i love you dawg no homo

[@matthewanderson1916]

do you still stand by this

[@sarahbelden646]

@@matthewanderson1916 i have to know too

[@DarraghWalsh]

William my man did you hit?

[@TheQuietCottage]

@patrickJMT Then the world has lost a great math professor. You're a brilliant teacher. Thanks!!!

[@hubbadubchub]

Dang the internet is amazing. I don't think I could ever have an excuse to not learn something. Thanks for the help. You're a hero.

[@patrickjmt]

if the left hand limit and right hand limit are not the same, the limit does not exist. a limit can not have two different values.

[@Gtownprincess16]

oh my god! I think you just saved me for my calculus final on thursday....my professor is convinced we should have learned this in high school and would not explain how to solve an absolute value to me, even when i asked. My high school teacher must have been slacking because I've never seen this before!! THANK YOU!

[@Retro_gamer_]

You are my hero when it comes to calculus! Don't stop making videos.

[@0goodvibes0]

why am I so bad at calculus

[@lusamini]

0goodvibes0 did you pass? Because I know I won't

[@hassanshahzad3922]

It's just a matter of setting a focus goal

[@erichuddleston4611]

Hassan Shahzad exactly

[@toveislove7426]

0goodvibes0 omg this still stands correct to this day...

[@TheDeckSmiths]

because its entirely useless. Engineers don't even use it

[@TheTamaraTammy]

OMG! dude. ur a life saver. i have a calculus exam tomorrow and you came up.

[@maoomph]

Wow you made it so easy thanks, you helped me more than my teacher who keeps rushing every lecture we have.

[@heyyy3210]

Don't stop making these videos! You help a LOT of people!!

[@patrickjmt]

glad i could help, come back any time! :)

[@oestera85]

For the last problem, the textbook (Stewart, Early Transcendentals, 7th edition) says limit does not exist. (problem nr 45, chapter 2.3 ). They say it doesn't exist, because the denominator cannot go to zero while the nominator does not. But when I graph it with wolfram, it does go to negative infinity. My math tutor says that it doesn't exist because the items in the bracket cancel out each other. Why is the inconsistency?

[@عموريباجبع-ظ8ب]

@@chiragkx IT HELPS ME THANKS

[@tedicicko4434]

From the bottom of my heart, thank you for helping me understand absolute value limits, my teacher is so ass and you actually explained it perfectly

[@patrickjmt]

@TheMimi1984 dne means it does not exist as a finite number. infinity is more descriptive than to say dne.

[@patrickjmt]

@orton220 glad you liked this. you may also check out the playlists if you are interested

[@nataliebabbbyyyy]

I've been watching you since I started Algebra II Honors Freshman year. I'm glad I came across your youtube, because of you, I make excellent math grades. Thank you so much & Keep up the good work! (:

[@Miftahul55]

this was a work of art

[@Munoz387]

Thank you so much Pat, I started my Calc class 3 weeks late and your videos REALLY helped me catch up on things.

[@patrickjmt]

wonderful! glad they helped. please spread the word!

[@patchina]

I literally screamed when it hit me that the first example would equal "does not exist", when you began evaluting the limit from both sides. I didn't know math could make me do that.

[@patrickjmt]

@iluvbigbootie i am not making it equal two different values, i am simply rewriting it as a piecewise function

[@JaviAirForces]

damn! this was exactly one of my homework problems! thank you so much, I not only got the answer right, but I learned how to get it correct. Thanks.

[@sdkoflpdlfs1104]

How's your homework

[@patrickjmt]

@vip0IR no, it does not mean that at all. it just depend on the functions

[@patrickjmt]

on the internet, everyone hates everything if it is not 100% what the agree with or want to see/hear.

[@ElectroMikeBirch]

I was struggling with this concept and found you through a Google search. Thanks for clearing this up for me, I feel much better now!

[@MarauderPadF00t]

I did badly in my courseworks once and your videos helped me to cover up alot during the finals and help me pass them. You should be knighted, like seriously.

[@cgme9535]

Yes! I am literally doing, nearly, the exact problem (with limits), and couldn't remember if you could simplify that rational equal to |1|/1 or if you had to do something different. Thank you for making this!

[@patrickjmt]

@Alexhauser23 you all are the future. get involved, don't be onlookers! that is how the world changes.

[@sarah.98369]

Thank you I am from Iraq I love you

[@mohdesamm]

11 years later and you still help

[@sl33pin1nschool]

I didn't get it when my teacher tried to talk about it, but you made it so much more clear. Thank You.

[@amanitariq5787]

You are soo perfect as a teacher your students are the luckiest

[@jbabe521]

helped me so much! i've got a calc 1 test today. i feel better now!

[@NUKINATOR44]

Just wanted to say thank you for creating a very helpful video to anyone who struggled to understand absolute value in limits.

[@mqm4141]

Felt relieved after seeing this video because now i understood more clearly. Thank you man!

[@emiliec7950]

Greetings!! Your videos have been so helpful and I was wondering if you could address the following problem: lim 2x-1/2x^3-x^2 x->0.5^- (from the left) the book solves it by first solving l2x-1l setting it to 2x-1 > or equal to 0 and 2x-1

[@gpn962]

Thanks! That was helpful.

[@Obscurbus]

Thank you, I would't be able to make it through my online calc class without your tutorials.

[@MeanGreenTX94]

You saved my Calculus grade. Thank you!

[@TheShinningdiamond]

You are just AWESOME!!! I don't know why I found you out at the end of semester... When I'm done with everything except for final...anyway... thanks!!!

[@NishieFernandez]

you are such an angel dude keep posting great explanations and more complicated examples

[@fabianandrade06]

Thank you so much Patrick for your passion for math and your time. Keep it up you are very special!! God bless u

[@eshitanandini6924]

I can honestly say that I love you man.

[@prathijamusic]

thank you for being a little bit more thorough :) Ive been confused with this for a while

[@patrickjmt]

yep, and very very useful!

[@DarkMaroon2]

I've been watching your videos to study for my AP exam. Thank you SO much. This really really helps. Keep it up. :D

[@flowerdoll16]

Thanks for holding my hand through Calculus Patrick.

[@murraycameron4207]

I've been tutoring math for years and students seem to understand me but you are in another league

[@patrickjmt]

thanks! :)

[@deborahkeyes9095]

your videos saved my life thank you

[@fijiwater241]

these videos are helping me pass calculus THANK YOU!

[@patrickjmt]

@khinlin glad u like the vids ; )

[@MrTheBroMoe]

I love how I can low key see your reflection in the white board :P

[@ameemahmedkhan5093]

best math teacher ever !

[@patrickjmt]

@urcool425 both of them are for sure out there, just do a search or look in the calculus 1 playlist on my channel

[@urcool425]

you're math videos make me love math like back in middle school days...cant find IVT theorem and Squeeze theorem stuff though.

[@patrickjmt]

differentiation is the process by which we obtain a derivative

[@av011901]

thanks a lot patrick this was really easy to understand God bless you

[@phonogtaphologist]

Thank you very much for this free tutoring!!! Its a good refresher and slightly more descriptive than I learned in class. I always thought of the sign function for absolute values but never related 'x' as the function in the absolute value tern, this insight has helped immensely. Thank you and keep it up!!

[@WesleyEatsRice]

I'm working on this exact same problem in my textbook, but the answer key says that the limit doesn't exist :( I don't know if you would have access to this particular textbook, but the problem can be found in: Calculus Early Transcendentals, California Edition 7E, James Stewart page 107 number 45.

[@clydemckervick9386]

one of the very few videos i genuinely like, and favorite!!

[@immaeatchu336]

Thank you so much for making it a lot less complicated.

[@xxk4ixx]

awesome videos man, good review for my final exam tomorrow!

[@anamarierasonabe5896]

Yoooow, Patrick, it's 2021 and I'm here watching your video. Thank youuuu sooo sooo muuuuch. ❤🇵🇭

[@rishisolanki9135]

It took me just 10 mins 11 seconds to understand what I couldn't figure out in two years 😂🙌🙌 thank you Patrick

[@patrickjmt]

u should suggest that to your prof.

[@Napopeles101]

YOU TEACH LIKE A BOSS!

[@deniseflanagan4573]

Very helpful! I couldn't understand the adding the -1 part until I saw your video!

[@BlkDiesel]

Thank you very much for putting some clarity on the absolute value limit situation. As usual thank you for your dedication.

[@eric23642]

you just saved my butt on my test, thanks man

[@Ramounskee]

YOU ARE MY SAVIOORR!!!!! MY CALC TEACHER DOESN'T TEACH THAT WAYYY!!!! THANK YOU SOOO MUUCCHH!!! 😍😍😍🙂🙂🙂☺☺☺😄😄😄😄😃😃😃

[@younessbeyej8436]

Thanks a lot from 2009 until 2018!

[@ladywallo]

Muito obrigado! Thank u so much! I didn't find no brazilian video about this case of limit.

[@patrickjmt]

@thedeviledrose no, no phd. i did a year of phd work and realized i have no desire to be a math professor, so i dropped out

[@alexew8773]

Thanks, i just started limits and this helped me a ton!

[@patrickjmt]

@MattyHild masters, yes

[@salmanqureshi3361]

if you put 'DNE' in the exam would it be ok or is it better to write it out fully? I know it is probably a silly question, but you see, I am a lazy person.

[@dylanbrown261]

Man, you rock! This video is well made and explains exactly what I needed to know.

[@patrickjmt]

(plays air guitar)

[@simohayha6031]

Because the right and left limits aren't equal in the first example, doesn't that also mean that the function isn't differentiable in x=1 (so by definition that function isn't differentiable)

[@swede62442]

your handwriting is perfect

[@AbrahamYohannes-mo4xj]

I have one question limit of 2/x If we approach x from the left why not negative infinity and also from the right positive infinite Sir

[@NazKam]

THIS IS MINDBLOWING everything make sense thanks!

[@ANKStardust]

Bless you man. Got my paper in 1 hr and i didnt know anythin about limits of absolute value functions. Untill i came here mwuahahaha

[@Mr.LaughingDuck]

Thank you! My calc professor just writes down equations without explaining the intermediate steps of those equations.

[@crystalbritin9665]

I'm studying advanced math Your video is very helpful, easy to understand Thanks a lot.

[@saharakaram]

thanks man..your videos will certainly make me pass first year of civil engineering

[@Andrewana]

THANKS PAT, limits test tomorrow!

[@OohRod]

i liked this video because you did an exact problem from my homework! thank youu

[@3117master]

You explain it better than my professor who has been teaching calculus (in the same college mind you) for 15 years. I laugh on his lapel!

[@andresandrade714]

Wow! thank you so much! I am learning more here than in the classroom. I will be viewing your videos on calculus as I continue the class. Keep up the good work!

[@benkrauss5041]

Thank you so much! Still helping me out 4,675 days later

[@samuel91222]

great explanation...i always stuck at doing this kind of limit..

[@patrickjmt]

0 is not negative or positive