What is the radius of convergence of the Taylor series the sum from n=0 to infinity of ((-1)^n*(x-9)^n)/(7^n*(n+4
What is the radius of convergence of the Taylor series the sum from n=0 to infinity of ((-1)^n*(x-9)^n)/(7^n*(n+4
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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Question
What is the radius of convergence of the Taylor series the sum from n=0 to infinity of ((-1)^n*(x-9)^n)/(7^n*(n+4
Expert Solution

Step 1
Taylor series expansion for the function f(x) at is x=a.

Step 2
Now

Step 3
Further simplify

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