2. (a) Use differentiation to find a power series representation for 1 f(x) = 1+1)" (1+x)² What is the radius of convergence? (b) Use part (a) to find a power series for f(x) = (1+ x)³ (c) Use part (b) to find a power series for f(r) = (1 + 2)3
2. (a) Use differentiation to find a power series representation for 1 f(x) = 1+1)" (1+x)² What is the radius of convergence? (b) Use part (a) to find a power series for f(x) = (1+ x)³ (c) Use part (b) to find a power series for f(r) = (1 + 2)3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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