Determine the radius of convergence of the following power series. Use the Ratio Test or the Root Test or, if it's a Geometric Series, you can use what we know about where Geometric Series converge. If you use the Ratio or Root Test, then test the endpoints to determine the interval of convergence, when appropriate. ∞ k=1 (x-1)²k-2 (2k-1)!
Determine the radius of convergence of the following power series. Use the Ratio Test or the Root Test or, if it's a Geometric Series, you can use what we know about where Geometric Series converge. If you use the Ratio or Root Test, then test the endpoints to determine the interval of convergence, when appropriate. ∞ k=1 (x-1)²k-2 (2k-1)!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine the radius of convergence of the following power series. Use the
Ratio Test or the Root Test or, if it's a Geometric Series, you can use what we know about where
Geometric Series converge. If you use the Ratio or Root Test, then test the endpoints to determine
the interval of convergence, when appropriate.
∞
k=1
(x-1)²k-2
(2k-1)!
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