Power series for derivativesa. Differentiate the Taylor series centered at 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. ƒ(x) = (1 - x)-1
Power series for derivativesa. Differentiate the Taylor series centered at 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. ƒ(x) = (1 - x)-1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Power series for derivatives
a. Differentiate the Taylor series centered at 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.
ƒ(x) = (1 - x)-1
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