Video: Taylor series | Chapter 11, Essence of calculus

Channel: 3Blue1Brown

Über

Taylor polynomials are incredibly powerful for approximations and analysis.

Help fund future projects: https://www.patreon.com/3blue1brown

An equally valuable form of support is to simply share some of the videos.

Special thanks to these supporters: http://3b1b.co/lessons/taylor-series#thanks

Home page: https://www.3blue1brown.com/

Full series: http://3b1b.co/calculus

Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.

http://3b1b.co/support

Timestamps

0:00 - Approximating cos(x)

8:24 - Generalizing

13:34 - e^x

14:25 - Geometric meaning of the second term

17:13 - Convergence issues

Correction: At 14:38, the last term should include a factor of 1/2

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

Vietnamese: ngvutuan2811


3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

Various social media stuffs:

Website: https://www.3blue1brown.com

Twitter: https://twitter.com/3Blue1Brown

Patreon: https://patreon.com/3blue1brown

Facebook: https://www.facebook.com/3blue1brown

Reddit: https://www.reddit.com/r/3Blue1Brown