Solution Found!
Power series for derivativesa. Differentiate
Chapter 8, Problem 26E(choose chapter or problem)
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.
\(f(x)=\sqrt{1+x}\)
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.
\(f(x)=\sqrt{1+x}\)
ANSWER:Solution 26EStep 1:Given