Maclaurin series to evaluate a limit (KristaKingMath)

Learn how to use a Maclaurin series to evaluate a limit. We'll find the Maclaurin series for sinx, then substitute the first several terms of the series into our function so that we're taking the limit of an entirely polynomial function.

● ● ● GET EXTRA HELP ● ● ●

● ● ● CONNECT WITH KRISTA ● ● ●

Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[warwick]

Was doing a review our professor gave us for an exam and I realized we NEVER learned this. Thank you for making our lives easier and thank God for the internet.

[gobhai]

You were I guess the first person, who answered my question of when to use Taylor/Macllaurin series while evaluating limits? And I understood it now . So thanks a ton :)

[roberson]

"are the videos from 2006 reaaally helping?" yes.

[MrYaseen]

I am at the end of the playlist!!! I wish there was more, I took all the notes from your blackboard and studied everything, I literally learned the whole of Cal II from you, never went to class cuz the teacher was shit! Thanks alot Krista I would pay you so much money if I was in your presence!

[kacyroberson]

I have watched like 100 of your videos in the past couple of days. You are crazy good at explaining things. Thank you for posting all of these! I also visited your site for the first time today and it is super nice!

[Diamondevar]

Thank you much your videos are really helpful.. I have a finale on Sunday and I feel I'm ready for it :) .

[elleryalkotob]

Thank you so much this makes so much sense you're a hero

[Neptade]

Hey in quite a few of my exercises I've encountered the case, to use your example, of not having "+1/6(x)^3" meaning that if I were to distribute I would end up with x in a denominator making it not solvable....how do am I supposed to move foward?

[lykaful]

Thank you sooo much. I did well on the exam today because of your video. we just had an exam in advanced math and our instructor decided that it was a good idea to introduce a new topic and conduct another exam next week. So I was wondering, do you have any videos about the fourier series? Coz your videos are amazing and your amazing. thanks again. :)

[grandorottcod]

I would like to know what is an integral and how did they come up with the algorithm

[xiaoyuezhu]

thank you very much! That was very helpful :)

[gobhai]

If possible please tell me steps by step on how to sollve this limit using maclaurin series.
Lim x->0 ((tanx/x)^(1/x^2)).
It's for my exams and I am just not able to sollve it.:(

[qualquan]

mainly a mechanistic exposition and not the principles behind taylor or mclaurin

[ItsLikeAShammy]

Can't you use L'Hopital's Theorem to evaluate for this limit as well? 

[MissMacyyy]

:D New video! ^_^ Andddd more calculus! :D

[doganterkin]

hey teacher .ı am from turkey. ı dont understand .please turkısh speakıng.

[grandorottcod]

I don't know, but I feel like I cannot prove what I am doing, so all this stuff seem worthless.

[mohdshariquealam]

Gotta stop watching your videos you have beautiful voice I can't 😁😁😁😁😁😁😁😉