Find $N$ so that for all $n\geq N$ holds that : $$ 2^{-n} + 3^{-n} + 4^{-n} < \frac{1}{365} $$
Prove inverse $n$-th powers $< 1/a$ where $a=365$. Find $n$ for the series.
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power-series
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1Finding *some* $N$ is easy... do you actually want the smallest $N$? And is this homework? – 2012-04-16
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1$N=9$ by trial and error... not very enlightening... – 2012-04-16