What is the Maclaurin series for f(x)=x2cos(x)f(x) = x^2 \cos(x)f(x)=x2cos(x)?
∑n=0∞(−1)nx2n+2(2n)!\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n+2}}{(2n)!}∑n=0∞(2n)!(−1)nx2n+2
∑n=0∞(−1)nx2n(2n)!\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{(2n)!}∑n=0∞(2n)!(−1)nx2n
∑n=0∞(−1)nx2n+1(2n+1)!\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n+1}}{(2n+1)!}∑n=0∞(2n+1)!(−1)nx2n+1
∑n=0∞x2n+2(2n)!\sum_{n=0}^{\infty} \frac{x^{2n+2}}{(2n)!}∑n=0∞(2n)!x2n+2