Suppose that you have the following power series, Σ an (x -- 4) n n=0 Suppose that you know that this series converges at x = 7 and diverges at x = -2. For each of the following series decide whether it is convergent, divergent, or you don't have enough information to decide. (d) an(-2)" n=0 (e) nan (2)n-1 n=1 (f) (4)+1 n=0
Suppose that you have the following power series, Σ an (x -- 4) n n=0 Suppose that you know that this series converges at x = 7 and diverges at x = -2. For each of the following series decide whether it is convergent, divergent, or you don't have enough information to decide. (d) an(-2)" n=0 (e) nan (2)n-1 n=1 (f) (4)+1 n=0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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