MathDB

Putnam 1974 B5

Source: Putnam 1974

May 28, 2022

Putnamfactorialinequalities

Problem Statement

Show that

1+\frac{n}{1!} + \frac{n^{2}}{2!} +\ldots+ \frac{n^{n}}{n!} > \frac{e^{n}}{2}

for every integer

n\geq 0.