The function f (x) = e ^ - x ^ 2 is expanded into a power series of X to get the? Let's solve this problem,

The function f (x) = e ^ - x ^ 2 is expanded into a power series of X to get the? Let's solve this problem,

e^x=1+x+x^2/2!+x^3/3!+…… +x^n/n!+……
So f (x) = 1-x & # 178; + x ^ 4 / 2! - x ^ 6 / 3! + +(-1)^n*x^(2n)/n!+……