Test for convergence of a series

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Michael_Light
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Homework Statement



Mathematics 11.png


Homework Equations





The Attempt at a Solution



I have no ideas how to continue. I also tried the comparison test but I don't know where to start. Please guide me...
 
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You want the limit of the ratio as n->infinity. Look at just the [itex]\frac{(n+1)^k}{n^k}[/itex] part. That's the same as [itex](\frac{n+1}{n})^k=(1+\frac{1}{n})^k[/itex]. What is that limit?