Hi all, Discuss cnvergence: $\displaystyle \sum\limits_{n = 3}^\infty {(\frac{{2^n + n}}{{3^n - n}}} ) $
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the following inequality holds for $\displaystyle n\ge1:$ $\displaystyle \frac{2^{n}+n}{3^{n}-n}<\frac{2^{n+2}}{3^{n}}.$ now it's just a simple a direct comparison test with the geometric series.
Thank you very much
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