Problem 1. Consider the following three infinite series. [ n=1 LM8: n=1 M8 WE Σ (a) One of these series can be evaluated easily. Find its sum. L 5~1 02 n=1 4 5n -1 4T - 1 5 (b) Test the other two series for convergence or divergence. 47-1 57 4-1542 5~ n=1 so this X fremdric 5개 4T-1 convera

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1. Consider the following three infinite series.
4T - 1
[¹
5
n=1
M8
OŹ
n=1
V
(a) One of these series can be evaluated easily. Find its sum.
to
527
M8
WE
Σ
4^-1
37
n=1
4
5n -1
(b) Test the other two series for convergence or divergence.
47-1
5^
<4
5^
50
this
n=1
5″
4T-1
convers
Transcribed Image Text:Problem 1. Consider the following three infinite series. 4T - 1 [¹ 5 n=1 M8 OŹ n=1 V (a) One of these series can be evaluated easily. Find its sum. to 527 M8 WE Σ 4^-1 37 n=1 4 5n -1 (b) Test the other two series for convergence or divergence. 47-1 5^ <4 5^ 50 this n=1 5″ 4T-1 convers
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