Radius of convergence (KristaKingMath)

[@EllenMoment25]

you've been sent from the gods to save my life!! I appreciate this so much, thank you!

[@kristakingmath]

I'm so glad you liked it! :D

[@davidgoni3545]

I just wanted to say thank you so much for making this video. I'm taking BC Calc at school and I learned more in this ten minute video than I did in the day we spent on this because you take your time to explain every single step including subtracting the exponents and everything. Again, thank you. Five star teaching. (:

[@portalgh0st730]

You're the first one to explain why it is ok to have abs(x - a) and why it's not ok if you have a constant in front like: 4abs(x-a) when looking for the radius of convergence. Thank you. You teach math as it should be taught!

[@kristakingmath]

CodeBrain Thank you so much!

[@mohdhafizulkhairimohdrazal5456]

Please continue your teaching . I am taking calculus 2 this semester .Thank you so much .I like your video because your pronounce is very clear

[@2812152]

Thanks for the help. Every word you spoke is stuck in my head. Beautiful voice

[@satanicmonkey666]

Explained way better than my teacher and the book itself. I just subscribed.

[@kristakingmath]

Erick Estrada Thanks Erick!

[@kosmicseduxion]

Thank you very much. You have really helped me in Calc 2. Series and sequences can be a pain but with your help it is so much better.

[@kristakingmath]

I'm so glad I've been able to help along the way! :D

[@cyrilferrero6275]

Of all the channels, this is the best. thak you very much for making videos about such topics i really appreciate it. love you.

[@kristakingmath]

Awww thanks, I'm so glad you like the videos! :)

[@shrutisarkar167]

Thank you so much for making the way more easier to us.

[@I3LaCkPeArL]

~6:34 you calculate that n-(n+1) = n-n-1 = -1. But then you continue with 4*n. Isn't it 4^-1 = 1/4*n = n/4?

[@kristakingmath]

The result of all that was 4^(-1), but that 4^(-1) was in the numerator. So since we had 4^(-1) in the numerator, we moved it to the denominator to get 4^1, or just 4, which is why we just end up with 4n in the denominator. If the 4^(-1) were in the denominator originally, then you're right that we would have ended up with n/4 inside the denominator.

[@justingallagher4864]

Dear IntegralCalc gal, I am taking Calc III this summer. Please don't stop making videos. I need you. Sincerely, J

[@kristakingmath]

I'll definitely continue! :D

[@Hasko-j9t]

Thank you so much for making calculus easier for us.

[@kristakingmath]

I'm glad I can help. :)

[@saveUyghurs]

At 1:33 she says all of that stuff was equal to a sub n. I thought power series were in the form a sub n times x^n, so wouldn't that make only the stuff before (x+3)^n equal to a sub n? Hope that made sense and that someone could clarify for me.

[@mbenitezusmc]

OMG I just fell in love with my new math teacher :D

[@kristakingmath]

:D

[@horselover8495]

Your videos are very helpful, thank-you for dedicating some time to help others with math. Having recently started the taylor series (and thus not knowing much about it), I would like to know why, exactly do people need to find its radius of convergence? What practical use does it have?

[@demarcuss.469]

Thanks for the details!

[@stevekhan4063]

I have a curious question what if we get -1

[@Aziz-sh3wq]

God bless your heart home boy

[@flipliip]

finally!!!!! Thank you for this!!!!

[@kristakingmath]

You're welcome!!

[@user-yx6mq2km3m]

Good detail

[@matiasavila797]

Hi, which program do you use to write like a blackboard

[@kristakingmath]

Hey, Matias! It's called Sketchbook (by Autodesk). :)

[@aaronasmr8833]

Could you go over testing the end points ...that's the hard part

[@ThePinoyMamba]

Well done Krista! :) Eric

[@kristakingmath]

Thanks Eric! :D

[@danieldelrey3133]

lovely voice! Thanks

[@nicholasgrosser9432]

THANK YOU!!!!!!!!!!!!!

[@davematthews100]

Great video

[@kristakingmath]

Thank you so much!!

[@frankstn7]

you explain too good .. !! Thank you so much.. :-)

[@kristakingmath]

+firoz razak You're welcome, I'm glad it helped!

[@danielluo-ov2uc]

good video, thank you

[@kristakingmath]

Thank you so much, you’re welcome!! ❤️

[@samardubey7399]

really good understand

[@GrandNecro]

10/10 explanation

[@kristakingmath]

Aw thanks! :D

[@jithunniks]

You are awesome

[@demarcuss.469]

You Rock!

[@kroko8916]

Thx Thx Thx! You're awsome!

[@kristakingmath]

+0124 EllaXiao Thank you so much, I'm glad I could help!

[@cnegronjr]

I've seen the light!!!!!!!!!

[@benjaminokolie4455]

What happened to the "-1"?

[@kristakingmath]

+benjamin okolie Because we're taking the absolute value, the -1 becomes irrelevant. If we had left it in there, applying the absolute value would have cancelled it out later anyway.

[@benjaminokolie4455]

Oh. Now it makes sense. Thanks a lot. This was really helpful

[@kristakingmath]

+benjamin okolie You're welcome, I'm glad it helped!

[@TheLeporad]

math

[@UbiChow]

i love you

[@karemharold8257]

I love you

[@karemharold8257]

this help so much thank you

[@kristakingmath]

i love you too!! :D

[@bilalrana9610]

I'm actually going to calculus next year and I do not want any trouble before the year starts, what should I do? -Oh and you are CUTE (I could not help myself)

[@kristakingmath]

I would just try to get as far ahead as you can! Start with Limits & Continuity, then work your way through Derivatives. That'll give you a great head start! :D

[@bilalrana9610]

Thanks so much! :D

[@AmalRatheesan]

are you married ? if no.. i will marry you. then i will pass my maths exam

[@lyka37ful]

geez miss. you just saved my ass, marry me

[@kristakingmath]

+Faith Lopez LOL, I'm so glad it helped!

[@peterwiphle1860]

You are a goddess

[@NateXen]

[@pierrefabela]

:D

[@sewreskurdan5987]

so fucking long