Question

Have can I show this function converges?

Answer 1

\[\sum_{n=1}^{∞}\frac{ (-1)^nn^2+3n+7 }{ 2^n+1 }\]

Answer 2

factor the top to start with

Answer 3

but that might go complex, just work thru a ratio test

Answer 4

or compare it to ... \[\frac{(-1)^n n^2}{2^n}\]
since for large values of n the rest of that stuff is rather moot

Answer 5

Thank you. I will give it a try when I come home.