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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.3 - Problem 30e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.3 - Problem 30e

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# Solved: Binomial seriesa. Find the first four nonzero

ISBN: 9780321570567 2

## Solution for problem 30E Chapter 9.3

Calculus: Early Transcendentals | 1st Edition

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Problem 30E

Problem 30E

Binomial series

a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function.

b. Use the first four terms of the series to approximate the given quantity.

; approximate .

Step-by-Step Solution:

Solution 30E

Step 1:

(a).We have to find the first four nonzero terms of the taylor series centered at 0 for the function

ie,  we have to find the terms of the maclaurin series for

The maclaurin series of a function

Therefore

Therefore the first 4 nonzero terms of the taylor series centered at 0 is

(b).Use the first four terms of the series to approximate the given quantity.

; approximate

Therefore

Step 2 of 1

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