Question Number 148809 by jlewis last updated on 31/Jul/21

Σ_(i=0) ^∞ [(−0.5x^2 )i/i!] integrate

Answered by qaz last updated on 31/Jul/21

Σ_(n=0) ^∞ ((−(1/2)x^2 n)/(n!)) =−(1/2)x^2 (yD)∣_(y=1) Σ_(n=0) ^∞ (y^n /(n!)) =−(1/2)x^2 (ye^y )∣_(y=1) =−(e/2)x^2