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## Homework Statement

Prove that the given sequence diverges to infinity.

{an} = (-n^4+n^3+n)/(2n+7)

## Homework Equations

Diverges definition

## The Attempt at a Solution

So far I have:

Let M>0 and let N= something.

I'm having a hard time figuring out what N should equal for the proof. I know I have to make the numerator smaller and denominator larger (I think), but I get confused. Can someone explain it please?