Find the first two non-zero terms of the Taylor series of f(x)=exf(x) = e^xf(x)=ex centered at a=1a=1a=1.
e+e(x−1)e + e(x-1)e+e(x−1)
1+(x−1)1 + (x-1)1+(x−1)
e+e(x−1)+e2(x−1)2e + e(x-1) + \frac{e}{2}(x-1)^2e+e(x−1)+2e(x−1)2
e(x−1)+e2(x−1)2e(x-1) + \frac{e}{2}(x-1)^2e(x−1)+2e(x−1)2