Problem

Prove that the series obtained in Exercise 25 rep…

02:04

Problem 27 Easy Difficulty

Prove that the series obtained in Exercise 13 represents $ \cos x $ for all $ x. $

Name: prove that the series obtained in exercise 13 represents cos x for all x
Uploaded: 2018-04-08
Duration: 1 min 59 s
Channel: Numerade
Description: Prove that the series obtained in Exercise 13 represents $ \cos x $ for all $ x. $

Answer

$$\lim _{n \rightarrow \infty} R_{n}(x)=0$$

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Discussion

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Video Transcript

The problem is proof that Siri's of changing exercise thirteen represents co sign Axe for or Axe in exercise. Thirteen. We're half So my Clarence theories focus on tax. This sum from zero to infinity. Nick, do you want to end hams? Axe to two and over two in Factorial so we can say this is on alternating Siri's. So the art imitating Siri's estimation theory, um shows as Eric involved in this approx approximation our two and x this last time axe too. Shoot. Perhaps I'm plus one over to M plus one Factorial. Yeah, you have squalor you smaller than this one. And this thing is the limit on goes to infinity access to M plus two over two and plus two bacterial secret zero. It's over half lim our two and my hand cost to infinity is equal to zero so that there is a change in exercise. Thirteen. This Siri's represents Kasan axe or axe

Wen Z.

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Problem

Prove that the series obtained in Exercise 25 rep…

Problem 27 Easy Difficulty

Prove that the series obtained in Exercise 13 represents $ \cos x $ for all $ x. $

Answer

$$\lim _{n \rightarrow \infty} R_{n}(x)=0$$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 2 / BC Educators

Grace H.

Kayleah T.

Caleb E.

Samuel H.

Calculus 2 / BC Bootcamp

Integration Review - Intro

Definite vs Indefinite

Recommended Videos

Watch More Solved Questions in Chapter 11

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 2 / BC Educators

Grace H.

Kayleah T.

Caleb E.

Samuel H.

Calculus 2 / BC Bootcamp

Integration Review - Intro

Definite vs Indefinite

Recommended Videos