etermine if the following infinite product converges or II (1 e. Ïi (1+n 12) (-1)" n=1 00 II (1+n-1/3 n=1 00 3. ÎI(1 – 3 "). n=1 In(1+x) nt: use the first exercise; use lim =1 and th

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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How do you solve 1?

Determine if the following infinite product converges or diverges:
1. п (1+ ).
(-1)"
n=1
2. П (1+п
-1/3
n=1
3. П(1 - 3 ").
n=1
Hint: use the first exercise; use lim
In(1+æ)
= 1 and the monotonicity of In x.
Transcribed Image Text:Determine if the following infinite product converges or diverges: 1. п (1+ ). (-1)" n=1 2. П (1+п -1/3 n=1 3. П(1 - 3 "). n=1 Hint: use the first exercise; use lim In(1+æ) = 1 and the monotonicity of In x.
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