# Divergence/convergence

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• April 27th 2010, 08:51 PM
CalculusCrazed
Divergence/convergence
$\sum _{k=1}^{\infty }{\frac {{5}^{k}}{{3}^{k}+{4}^{k}}}$

I'm thinking this is a geometric, but I can't seem to reorder it. Any tips on what I should do?
• April 27th 2010, 09:11 PM
maddas
${5^k\over 3^k + 4^k} \ge {5^k\over 4^k+4^k}$
• April 27th 2010, 09:21 PM
CalculusCrazed
Ahh, thank you! That worked out very nicely. (Happy)