Grandi's series

English

Etymology

Named after Luigi Guido Grandi (1671-1742), Italian mathematician.

Proper noun

1. Template:Lb The divergent infinite series $\sum _{n=0}^{\mathrm{\infty }}(-1{)}^n=1-1+1-1+\cdots .$

Usage notes

Rigorous summation methods assign a value of 1/2 to Grandis's series. See Template:Pedia