- #1
Titans86
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Can I use this logic?
I'm wondering if I can use this kind of logic to solve:
\sum\frac{(n+1)^n}{n^{(n+1)}} Converges or diverges
\frac{(n+1)^n}{n^{(n+1)}} \geq \frac{(n)^n}{n^{(n+1)}}
And
\frac{(n)^n}{n^{(n+1)}} = n , which diverges
Therefor:
\sum\frac{(n+1)^n}{n^{(n+1)}} Diverges
Homework Statement
I'm wondering if I can use this kind of logic to solve:
\sum\frac{(n+1)^n}{n^{(n+1)}} Converges or diverges
The Attempt at a Solution
\frac{(n+1)^n}{n^{(n+1)}} \geq \frac{(n)^n}{n^{(n+1)}}
And
\frac{(n)^n}{n^{(n+1)}} = n , which diverges
Therefor:
\sum\frac{(n+1)^n}{n^{(n+1)}} Diverges
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