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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.3 - Problem 42e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.3 - Problem 42e

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# Working with binomial series Use properties of | Ch 9.3 - 42E ISBN: 9780321570567 2

## Solution for problem 42E Chapter 9.3

Calculus: Early Transcendentals | 1st Edition

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Problem 42E

Problem 42E

Working with binomial series Use properties of power series, substitution, and factoring of constants to find the first four nonzero terms of the Taylor series centered at 0 for the following functions. Use the Taylor .series  Step-by-Step Solution:

Solution 42E

Step 1:

In this problem we need to find the first four nonzero terms  of the taylor series centered at ‘0’ for the function = by using the taylor series : Consider , = = …………..(1)

By , using we get = = 1 -2(-4x)+3 = 1 -2(-4x)+3 , since ) if n is odd.

= 1 + 8x + 48 Therefore , the first four nonzero terms of the taylor series centered at ‘0’ for the function are 1+8 x + 48 .

That is ,  1, x , 48 , .

First term = 1

Second term = 8x

Third term = 48 Fourth term = Step 2 of 1

##### ISBN: 9780321570567

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