If f(x)=exf(x) = e^xf(x)=ex, what is the coefficient of (x−1)2(x-1)^2(x−1)2 in the Taylor series for fff centered at x=1x = 1x=1?
e2\frac{e}{2}2e
eee
12\frac{1}{2}21
e22\frac{e^2}{2}2e2