Theory and ExamplesThe series converges to e x for all

Chapter 10, Problem 56E

(choose chapter or problem)

Problem 56E

Theory and Examples

The series

converges to e x for all x.

a. Find a series for (d/dx)e x Do you get the series for e x ?Explain your answer.

b. Find a series for  Do you get the series for e x ? Explain your answer.

c. Replace x by –x in the series for e x to find a series that converges to for all x. Then multiply the series for e– x and e -x to find the first six terms of a series for

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