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Alexmahone
Active member
- Jan 26, 2012
- 268
Does the following series converge?
$\displaystyle\sum\frac{n^5}{2^n}$
$\displaystyle\sum\frac{n^5}{2^n}$
Last edited:
$\displaystyle\lim_{n\to\infty}\left|\frac{a_{n+1}}{a_n}\right|=\lim_{n\to\infty}\frac{(n+1)^5}{2n^5}=\frac{1}{2}$Well what tests did you try?the ratio test and the root test both give you what you need. Try them. If you need more hints let us know.Mohammad