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Can I use the logic?

  • Thread starter Titans86
  • Start date
  • #1
17
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Can I use this logic?

Homework Statement



I'm wondering if I can use this kind of logic to solve:

[tex]\sum\frac{(n+1)^n}{n^{(n+1)}}[/tex] Converges or diverges

The Attempt at a Solution



[tex] \frac{(n+1)^n}{n^{(n+1)}} \geq \frac{(n)^n}{n^{(n+1)}} [/tex]

And

[tex] \frac{(n)^n}{n^{(n+1)}} = n [/tex] , which diverges

Therefor:

[tex]\sum\frac{(n+1)^n}{n^{(n+1)}}[/tex] Diverges
 
Last edited:

Answers and Replies

  • #2
166
0
Yes. So long as it's true for all n and n > 0.
 

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