   Chapter 11, Problem 10RQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.10. ∑ n = 0 ∞ ( − 1 ) n n ! = 1 e

To determine

Whether the statement “ n=0(1)nn!=1e ” is true or false.

Explanation

Result used:

The expansion ex is n=0xnn! . (1)

Calculation:

Consider the given series is n=0(1)nn!

Substitute −1 for x in equation (1),

e1=n=0

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