(a) Find a power series representation for f(x) = In(1 + x). f(x) = 8 n = 1 ((-1)"-1" ( − 1 ) n - 1 x n n What is the radius of convergence, R? R = 1 (b) Use part (a) to find a power series for f(x) = x In(1 + x). f(x) = n = 2 n+1 ((-1)*-11 n
(a) Find a power series representation for f(x) = In(1 + x). f(x) = 8 n = 1 ((-1)"-1" ( − 1 ) n - 1 x n n What is the radius of convergence, R? R = 1 (b) Use part (a) to find a power series for f(x) = x In(1 + x). f(x) = n = 2 n+1 ((-1)*-11 n
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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