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power series
Firefox File Edit View History Bookmarks Tools Window Help O O O Homework 15: Section 10.6 (Power series) WA Homework 15: Section 10.6 (Po... x C Homework Help Ask A Questio... x 3 www.webassign.net/web/Student/Assignment-Responses/submit?dep 5694833#Q2 n 31 7,7 2. -1.78 points Find the interval of convergence. (Enter your answer using interval notation.) n 1 Submit Answer Save Progress 3. 78/1.78 points l Previous Answers Find the interval of convergence. (Enter your answer using interval notation.) (29% Sat 5:28 PM Tanner Ro ns Q. OR Chegg a My Notes I RogacalcET2 10.6.010 My Notes I RogacalcET2 10.6.015 61. Find a power series POx) satisfying the diff y"-xy TWhaExplanation / Answer
Use ratio test
Limit as n approaches infinity of 4^(n+1) x^(n+1)/(n+1) * n/(4^n*x^n)
limit as n -> infinity of 4x n/(n+1) = 4x<1
R = 1/4
-1/4 <x <1/4
test intervals
test -1/4
series of (-1)^n 4^n (1/4)^n/n converges
test 1/4
diverges
interavl [-1/4, 1/4)
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