What is the Maclaurin series for f(x)=cos(x3)f(x) = \cos(x^3)f(x)=cos(x3)?
∑n=0∞(−1)nx6n(2n)!\sum_{n=0}^{\infty} \frac{(-1)^n x^{6n}}{(2n)!}∑n=0∞(2n)!(−1)nx6n
∑n=0∞(−1)nx3n(2n)!\sum_{n=0}^{\infty} \frac{(-1)^n x^{3n}}{(2n)!}∑n=0∞(2n)!(−1)nx3n
∑n=0∞(−1)nx2n(3n)!\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{(3n)!}∑n=0∞(3n)!(−1)nx2n
∑n=0∞x6n(2n)!\sum_{n=0}^{\infty} \frac{x^{6n}}{(2n)!}∑n=0∞(2n)!x6n