function f has a maclaurin series given by 2+3x+x2=1/3x3+......, and the maclaurin series converges to f (x ) for all real numbers x. if g is the function defined by g(x)=ef(x), what is the coefficient of x2 in the Maclaurin series for g?
a.1/2e2
b.e2
c.5/2e2
d.11/2e2