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. (a) an (7) n n=0 (b) an (6) n n=0 (c) Σ αn(-4)" 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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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.
(a) an (7) n
n=0
(b) an (6) n
n=0
(c) Σ αn(-4)"
n=0
Transcribed Image Text: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. (a) an (7) n n=0 (b) an (6) n n=0 (c) Σ αn(-4)" n=0
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