MathDB
Putnam 2002 B3

Source:

March 12, 2012
Putnaminequalitieslogarithmscollege contests

Problem Statement

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