What is the relationship between the power series representation from part (a) f ( x ) = ∑ n = 0 ∞ A n x n {\displaystyle f(x)=\sum _{n=0}^{\infty }A_{n}x^{n}} and the Taylor series representation f ( x ) = ∑ n = 0 ∞ f ( n ) ( 0 ) n ! x n {\displaystyle f(x)=\sum _{n=0}^{\infty }{\frac {f^{(n)}(0)}{n!}}x^{n}} ?
