Science:Math Exam Resources/Courses/MATH101 A/April 2024/Question 18 (c)/Hint 1

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