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Consider the power series > anT" where an+3 = a, for all n. Find the radius of convergence of n=0 the power series. As well, find the sum of the power series for values of a for which the series converges. Note: by sum, this means a function that depends on x and possibly an for some yalues of n.

Consider the power series > anT" where an+3 = a, for all n. Find the radius of convergence of n=0 the power series. As well, find the sum of the power series for values of a for which the series converges. Note: by sum, this means a function that depends on x and possibly an for some yalues of n.

Advanced Engineering Mathematics
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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Consider the power series > anT" where an+3 = a, for all n. Find the radius of convergence of n=0 the power series. As well, find the sum of the power series for values of a for which the series converges. Note: by sum, this means a function that depends on r and possibly an for some values of n.
Transcribed Image Text:Consider the power series > anT" where an+3 = a, for all n. Find the radius of convergence of n=0 the power series. As well, find the sum of the power series for values of a for which the series converges. Note: by sum, this means a function that depends on r and possibly an for some values of n.
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