Power series for derivativesa. Differentiate

Chapter 8, Problem 25E

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QUESTION:

Power series for derivatives

a. Differentiate the Taylor series about 0 for the following functions.

b. Identify the function represented by the differentiated series.

c. Give the interval of convergence of the power series for the derivative.

\(f(x)=e^{-2 x}\)

Questions & Answers

QUESTION:

Power series for derivatives

a. Differentiate the Taylor series about 0 for the following functions.

b. Identify the function represented by the differentiated series.

c. Give the interval of convergence of the power series for the derivative.

\(f(x)=e^{-2 x}\)

ANSWER:

Solution 25EStep 1:Given

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