Suppose that E Cn x" is a power series with interval of convergence (-3, 3) and that Cn a" converges to f (x) = n=0 n=0 a) What is the interval of convergence of 5x Cna"? [ Select] n=0 b) On the interval of convergence, what does the series E 5x · Cn x" converge to? (Select ] n=0 >

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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q2 6.2

Read Theorem 6.2 in the textbooke.
Suppose that E Cn a" is a power series with interval of convergence (-3, 3) and that Cna" converges to f (x) = =
n=0
n=0
a) What is the interval of convergence of 5x · c, an? [ Select ]
n=0
b) On the interval of convergence, what does the series 5x Cn x" converge to? I Select
n=0
Transcribed Image Text:Read Theorem 6.2 in the textbooke. Suppose that E Cn a" is a power series with interval of convergence (-3, 3) and that Cna" converges to f (x) = = n=0 n=0 a) What is the interval of convergence of 5x · c, an? [ Select ] n=0 b) On the interval of convergence, what does the series 5x Cn x" converge to? I Select n=0
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