olymmath

Putnam 2002 B3

  • Session B

Show that, for all integers n>1n > 1, 12ne<1e−(1−1n)n<1ne.\frac{1}{2ne} < \frac{1}{e} - \left( 1 - \frac{1}{n} \right)^n < \frac{1}{ne}.

Curated text Kedlaya Putnam archive. Quoted with source.

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