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Taylor series | Chapter 11, Essence of calculus

Автор: 3Blue1Brown

Загружено: 2017-05-07

Просмотров: 4547628

Описание: Taylor polynomials are incredibly powerful for approximations and analysis.
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Special thanks to these supporters: http://3b1b.co/lessons/taylor-series#...
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.
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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


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Taylor series | Chapter 11, Essence of calculus

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