PLEASE ANSWER PROPERLY, THOROUGHLY, AND GIVE FULL AND COMPLETE EXPLANATION !!! ALSO PLEASE ANSWER BOTH PARTS BUT IN COMPLETE DETAILS (a) List the first five terms of the Taylor series centered at 0 for f(x)=e^(x)
(b) List the first five terms of the Taylor series centered at 0 for f(x)=xe^(-x^(2))
a) List the first five terms of the Taylor series centered at 0 for f() = e