Evaluating limits by Conjugate Method - Limits and Radicals - Calculus

[@GreaseMonkey33]

Bro u r an absolute G, bc of u I now only have an 80% chance of failing my calc exam rather than 100% Update: I got a 92%, this geezer is the real deal

[@ociones]

Aint no way tutor me plsss

[@GreaseMonkey33]

@@ociones No tutoring needed brotha, the trick is to be in prayer to the Lord, trust in His sovereignty whether He determines that you fail or succeed and keep your eyes on Christ man. Scriptures says "Seek first the Kingdom and all these things shall be added unto you". Hope this helps because this is literally the only thing I did other than cramming half a semester's worth of homework 4 days before the final cus I needed points lol.

[@esmeralda9712]

⁠@@GreaseMonkey33I’ve been stressing abt my calc placement test and this comment honestly helped me so much. You reminded me that all I need to do it’s trust in God and he’s got my back whether I pass or fail. Thank you🙏🏾

[@GreaseMonkey33]

@@esmeralda9712 Glad to hear it man, this made my day! Proverbs 16:33 says "The lot is cast into the lap, but its every decision is from the Lord". You can cast your lots so to speak by preparing and doing your best in the exam, but the reality is ultimately that the Lord determines whether you fail or succeed, and that failure or success is ultimately promised to be the best outcome in scripture as it is the outcome that most magnifies the sovereignty of God and glorifies Him. God may have blessed me so far, but He may decide to test me in the future with failures on exams (and he has given me the gift of trials where I did fail to perform academically) but even that is something to be thankful for because it is the work of His hands. Rest assured in the promises of scripture, that we await a great kingdom bought for us by the blood of our Lord, and that if we persevere in *His* power, we will some day be united with our Savior! :D

[@BackToBrazil]

whyd you have to call him a geezer lmfaoooo

[@maris6843]

Thank you for explaining why certain things are done, like why we use parentheses for the negative to distribute. Little explanations like that really help.

[@lanaenjoyer]

Just wanted to say that you helped me pass Calc II, I've never been good at math but somehow u made a miracle lmao

[@allandizon5601]

you made me learned enough sir long live sir

[@elmoreglidingclub3030]

This is excellent! Where can I find a gazillion conjugation problems to work out so I can become confident and proficient in that method??

[@lasgna8931]

3:41 thank you for this method!

[@nishusahu3681]

Thank you so much sir... ❤

[@jonykhan4395]

Good work, Does limit solve undefined form or indeterminate form type of problems?

[@EricSilomba]

Good explanation

[@BrendaCasipong-n9c]

to the last question,its -1/3 because √1+1+√1=3 ,not 2

[@calculus997]

@@BrendaCasipong-n9c no It is multiplication between first radical and …

[@anotherguy5038]

Lay not up for yourselves treasures upon earth, where moth and rust doth corrupt, and where thieves break through and steal: But lay up for yourselves treasures in heaven, where neither moth nor rust doth corrupt, and where thieves do not break through nor steal: For where your treasure is, there will your heart be also. Matthew 6:19-21

[@francislorenceangeles4943]

In the last question, shouldn't the denominator become x^2√(1+x) because of x√(1+x) (x) when you subtracted the unlike fractions?

[@calculus997]

@@francislorenceangeles4943 least common denominator

[@neeyjaa1]

at 11:40, why -2^2+5 = 9? shouldn't it be 1? -2^2 is -4 and when we +5 it is positive 1. Did I do something wrong?

[@calculus997]

(-2)^2 = 4

[@neeyjaa1]

@@calculus997 i see, thank you!

[@bandd4banddd]

my prof tells me that in a particular case when you do the conjugate, you multiply the limit by the denominator, but you did it with the numerator. Why is that?

[@calculus997]

@@bandd4banddd it depends where the radicals are If they are in numerator then …. And if they are in denominator then …..

[@buhlesihlabele]

How did we get to second step please help 😭

[@jan-willemreens9010]

... Good day, An alternative way to solve the given indeterminate lim(x-->2)((SQRT(4x + 1) - 3)/(x - 2)) ... Rewrite the denominator (x - 2) as follows: x - 2 = (4x + 1) - 9 by first multiplying numerator and denominator by 4, thus: lim(x-->2)(4)((SQRT(4x + 1) - 3)/((4x + 1) - 9)) ... Treat the new denominator (4x + 1) - 9 as a difference of two squares: (SQRT(4x + 1) - 3)(SQRT(4x + 1) + 3) and finally cancell the common factor (SQRT(4x + 1) - 3) of numerator and denominator to obtain the solvable limit: (4)lim(x-->2)(1/((SQRT(4x + 1) + 3)) = (4)1/(3 + 3) = 4/6 = 2/3 ... I hope you appreciate this way too ... Thank you and take care, Jan-W

[@calculus997]

Yes, it works, but unusual method

[@vicndeches]

in the third example of x^2 +5 why cant we multiply with x+2

[@corazonnn_]

Can someone pls tell me the method or the process of how he found the common denominator at 12:35

[@xoppa09]

The common denominator of the denominators x and √1+x is just their product, since they have no common factors. This is the same situation if you wanted the common denominator of 1/5 and 1/7, which is the product 5*7.

[@adamk5701]

very nice and thorough method of explanation, thank you ^_^

[@arslanmoghal5472]

Nice 👍

[@AjeiIrigo]

We can also use l'hotipal's method which is quick am i right?

[@calculus997]

@@AjeiIrigo yes

[@judgemanas9854]

why is 2/√1+√1 = 2/2 ? shouldn't it be 2/√2? please enlighten me

[@calculus997]

No, 2/(1+1)=2/2=1

[@slottibarfast5402]

While this is good the probem is that what are the odds that the numerator will have a common factor as the denominator? So many special cases when some general rule would be nice or graphically representing the expression and estimating the answer by observation. Let AI deal with the problem.

[@LyudmilaÖdi]

This is the kind of accent I vibe with

[@arihee]

mamma mia

[@AbdulSalam-ss4eu]

Why are we taking conjugate of numerator and not denominator

[@itsdokuro610]

8:44 Watch this

[@abdallahneymar8615]

Yes oo man good question

[@solomonikeoha9074]

What are you trying to get rid of?

[@jvpro_rblx2955]

We don't always use denominator, we use the term that has square roots to cancel them out

[@meliodassama988]

Can i ask why in the last question, why is it not possible to combine (√x+1) and (1+√x+1)?

[@calculus997]

if you talk about denominator, it makes it more complicated

[@jayfrancisabraham7921]

thankyou sirrr

[@bigfoot4034]

Very good method

[@SabaaOromo]

Good mathes

[@illusoriokarlvincentv.2019]

thx for this video

[@SisayInjigu-vm7gq]

Good vedio!!!

[@jeremiahgallegos2111]

How do you get 1-rad1+x for the numerator, I don’t get it

[@calculus997]

first we did a common denominator, and so the numerator is ...

[@itsmemario1298]

Yeah me too

[@manuelissiahrito6917]

im also confused on that last part on how you got the 1-rad1+x/xrad1+x @@calculus997