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For what values of x does the series E-1 n=1 x21+3 12² converge?

For what values of x does the series E-1 n=1 x21+3 12² converge?

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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x21+3 1. For what values of x does the series Σn=1 n² converge? sinxz 2. Using series, find of lim x-0 3. Test the convergence and divergence of the following series: ( 2 i. 4n=0 n2+1+2 iii. Σ=1 n!n! (2n)!
Transcribed Image Text:x21+3 1. For what values of x does the series Σn=1 n² converge? sinxz 2. Using series, find of lim x-0 3. Test the convergence and divergence of the following series: ( 2 i. 4n=0 n2+1+2 iii. Σ=1 n!n! (2n)!
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