   Chapter 11.5, Problem 29E

Chapter
Section
Textbook Problem

# Approximate the sum of the series correct to four decimal places.29. ∑ n = 1 ∞ ( − 1 ) n n e − 2 n

To determine

To approximate: The sum of the series n=1(1)nne2n correct to four decimal.

Explanation

Given:

The series is  n=1(1)nne2n.

Calculation:

Consider the series, sn=(1)nne2n.

Substitute 4 for n in sn,

s4=(1)1e2+(12)2e4+(1)33e6+(1)44e8=1e2+2e43e6+4e8=0.13533+0.036630.00743+0.001340

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