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

Consider the power series representation of at ,

and compare with the series obtained in the part (a).

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Consider the power series representation of $f(x)=\cos(x^{2})$ at $0$,

- $f(x)=\sum _{n=0}^{\infty }{\frac {f^{(n)}(0)}{n!}}x^{n},$

and compare with the series obtained in the part (a).