$\displaystyle \sum _{k=1}^{\infty }{\frac {{5}^{k}}{{3}^{k}+{4}^{k}}}$ I'm thinking this is a geometric, but I can't seem to reorder it. Any tips on what I should do?
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$\displaystyle {5^k\over 3^k + 4^k} \ge {5^k\over 4^k+4^k}$
Ahh, thank you! That worked out very nicely.
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