$\displaystyle \sum {\frac {2+sin^3(n+1)} {2^n + n^2} }$

Can someone show me this plz?

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- Oct 9th 2008, 10:28 PMCatodoes this series converge?
$\displaystyle \sum {\frac {2+sin^3(n+1)} {2^n + n^2} }$

Can someone show me this plz? - Oct 9th 2008, 10:38 PMJhevon
- Oct 9th 2008, 10:57 PMCato
$\displaystyle \Bigg| \frac 3{2^n + n^2} \Bigg|$ < $\displaystyle \Bigg| \frac 3{n^2} \Bigg|$ which we know converges so the whole thing converges, right?

- Oct 9th 2008, 11:40 PMJhevon