# Science:Math Exam Resources/Courses/MATH103/April 2016/Question 08 (b)/Hint 1

Consider the power series representation of ${\displaystyle f(x)=\cos(x^{2})}$ at ${\displaystyle 0}$,
${\displaystyle f(x)=\sum _{n=0}^{\infty }{\frac {f^{(n)}(0)}{n!}}x^{n},}$