Justify the convergence of numerical series of general term: (Picture 1), where n is natural number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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  • Justify the convergence of numerical series of general term:

(Picture 1), where n is natural number.

  • Using the Fourier series expansion of f for t=0 and t=pi, calculate:

(picture 2)

 

(- 1)" .
n2 + 1
1
n2 + 1
Transcribed Image Text:(- 1)" . n2 + 1 1 n2 + 1
n=o n2 +1
+ 00
(- 1)"
+ 00
Σ
Σ
and
n=o n2 + 1
n=o n? + 1
Transcribed Image Text:n=o n2 +1 + 00 (- 1)" + 00 Σ Σ and n=o n2 + 1 n=o n? + 1
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