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Chapter 7: Q.56 (page 653)

(a) Show that the given alternating series converges.

(b) Compute S10 and use Theorem 7.38 to find an interval

containing the sum L of the series.

(c) Find the smallest value of n such that Theorem 7.38

guarantees that Sn is within 10-6 of L

localid="1654683796492" 鈭�k=2鈭�(-1)k+1k!(2k+1)!

Short Answer

Expert verified

Part(a) The Given series is

Part (b)

Step by step solution

01

Part(a)  Given information

The series 鈭�k=2鈭�(-1)k+1k!(2k+1)!is given.

We have to show that the given alternating series converges.

02

Showing the series is Converging

The series 鈭�k=2鈭�(-1)k+1k!(2k+1)!is an alternating series.

Since e

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