MathDB

B5

Part of 1974 Putnam

Problems(1)

Putnam 1974 B5

Source: Putnam 1974

5/28/2022
Show that 1+n1!+n22!+…+nnn!>en21+\frac{n}{1!} + \frac{n^{2}}{2!} +\ldots+ \frac{n^{n}}{n!} > \frac{e^{n}}{2} for every integer n≥0.n\geq 0.
Putnamfactorialinequalities