() Given that the Taylor Polynomial for f(x)=e of degree 4 about a =0 is + f(x)=1+2+ + 2! 3! 4!' find the Taylor Polynomial for g(x) =e of degree 15 about x = 0. Enter the terms in order of increasing degree. g(x) 22 + + E 8 + + Hint: You could calculate this manually, but is there an easier way? How do we know the polynomial only has five terms? Now find each of the following: + d 283