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. (:
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!
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.
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.
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?
+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.
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)
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
you've been sent from the gods to save my life!! I appreciate this so much, thank you!
I'm so glad you liked it! :D
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. (:
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
Thanks for the help. Every word you spoke is stuck in my head. Beautiful voice
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!
CodeBrain Thank you so much!
Explained way better than my teacher and the book itself. I just subscribed.
Erick Estrada Thanks Erick!
Of all the channels, this is the best. thak you very much for making videos about such topics i really appreciate it. love you.
Awww thanks, I'm so glad you like the videos! :)
~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?
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.
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.
I'm so glad I've been able to help along the way! :D
Thank you so much for making the way more easier to us.
OMG I just fell in love with my new math teacher :D
:D
Thank you so much for making calculus easier for us.
I'm glad I can help. :)
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.
Dear IntegralCalc gal,
I am taking Calc III this summer. Please don't stop making videos. I need you.
Sincerely,
J
I'll definitely continue! :D
Thanks for the details!
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?
I have a curious question what if we get -1
Hi, which program do you use to write like a blackboard
Hey, Matias! It's called Sketchbook (by Autodesk). :)
finally!!!!! Thank you for this!!!!
You're welcome!!
God bless your heart home boy
Good detail
Well done Krista!
:)
Eric
Thanks Eric! :D
lovely voice! Thanks
you explain too good .. !! Thank you so much.. :-)
+firoz razak You're welcome, I'm glad it helped!
Could you go over testing the end points ...that's the hard part
Great video
Thank you so much!!
good video, thank you
Thank you so much, you’re welcome!! ❤️
really good understand
10/10 explanation
Aw thanks! :D
What happened to the "-1"?
+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.
Oh. Now it makes sense. Thanks a lot. This was really helpful
+benjamin okolie You're welcome, I'm glad it helped!
THANK YOU!!!!!!!!!!!!!
You are awesome
Thx Thx Thx! You're awsome!
+0124 EllaXiao Thank you so much, I'm glad I could help!
You Rock!
I've seen the light!!!!!!!!!
math
I love you
this help so much thank you
i love you too!! :D
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)
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
Thanks so much! :D
i love you
You are a goddess
geez miss. you just saved my ass, marry me
+Faith Lopez LOL, I'm so glad it helped!
:D
are you married ?
if no..
i will marry you. then i will pass my maths exam
so fucking long