No. Interval of convergence is the entire interval over which the series converges, for example [-6,6]. The radius of convergence is always half of the interval. So for example of IOC is [-6,6], that's 12 units, which means the radius of convergence has to be 12/2=6, so ROC=6.
Totally not fair. We didn't have TH-cam when I was in college. We didn't have the Internet either. Seriously, what tool did you use for the blackboard?
Joe McDonald Isn't it amazing what we have access to now?! Just incredible. I use a program called Sketchbook for the blackboard. Here's more information if you're interested: www.kristakingmath.com/my-videos
You can think of the interval of convergence as the diameter. If you imagine that the interval of convergence goes from -1 to 1, and draw a circle that connects those two points, then the radius of convergence is half of the interval. :)
your very cute! :) and your explanations are so good! Im actually in college now and let me tell you before those finals I crank open your videos =) keep up the good work! and let me know if you wanna collab in the future ;) !! :)
This is one of the best playlists I ever watched. I have an exam coming up; I have a better understanding. Thank you so much.
Yay! So glad they've been able to help. Good luck on your upcoming exam! 😊
You are a life saver! I've watched close to ten videos about the Maclaurin Series, and this was the only on that made any sense. THANK YOU!
You're so welcome! I'm glad it could help! :D
You are absolutely amazing at clearly and concisely explaining key topics in Cal, so thank you.
Batman I'm so glad it helped!
Great videos, I've been using them since last fall. Almost down with Calc II now.
Andrew Obrigewitsch Nice! Good luck with the rest of Calc II!!
Best teaching methodology 👍👌👌
:)
what an angel you are
Thank you soooo much, you saved my day!!!!
your voice is so soothing.
Thank You! Thank You! Thank You! I went ahead and gave a like as well
Thanks so much, T-bone! So glad you liked it! :D
Thank you. very well presented !
Thanks!
Saved me today in Calculus class. I'm teaching BC here in Beijing China. So you've come half way around the world ! :)
This is very useful it helps me alot
Glad I could help! :)
Would you be able to use this method for showing maclaurien series of exp(exp(x)) converges
Very helpful
Could I have used the alternating series test, instead of the ratio test?
bless your soul.
Thank you for your help!
You're welcome! I'm glad I could help!
Thank you.
Thank you
You're welcome! :)
what is the application of the maclaurin series?
You can approximate functions such as sin or cos, this is useful in calculators, computers, physics, etc.
very smart with the thumbnail image
Thanks for helping...
You're welcome! :)
Thank you so much! This helped a lot :)
Awesome! Glad I could help. :)
Dumb question but is interval of convergence and radius of convergence the same thing? just checking
No. Interval of convergence is the entire interval over which the series converges, for example [-6,6]. The radius of convergence is always half of the interval. So for example of IOC is [-6,6], that's 12 units, which means the radius of convergence has to be 12/2=6, so ROC=6.
its very helpful !
Awesome, I'm so glad it helped!
we are left with 2n+1*2n+2 in denominator only
SO HELPFUL THANK YOIU SO MCUH
Totally not fair. We didn't have TH-cam when I was in college. We didn't have the Internet either. Seriously, what tool did you use for the blackboard?
Joe McDonald Isn't it amazing what we have access to now?! Just incredible. I use a program called Sketchbook for the blackboard. Here's more information if you're interested: www.kristakingmath.com/my-videos
great explanation, thank you :)
If ratio test L=1 then converges or diverges....? Reply
You can't know
what software do you use?
I explain the process here :) integralcalc . com/how-I-create-my-videos/
In what way is the radius of convergence a radius?
You can think of the interval of convergence as the diameter. If you imagine that the interval of convergence goes from -1 to 1, and draw a circle that connects those two points, then the radius of convergence is half of the interval. :)
what do u major in?
Haha, nice Name :D
i love you
@integralCALC i like very much your videos,could i add you?
i enjoyed the video more from 9:35 onward :)
your very cute! :) and your explanations are so good! Im actually in college now and let me tell you before those finals I crank open your videos =) keep up the good work! and let me know if you wanna collab in the future ;) !! :)
Nerds got a crush now
Who knew that someone who does Math so well could b so pretty?
sexist much?
Silly thing to say.
i like u :/ ur beautiful hahah :D