What is the Maclaurin series for f(x)=xsin(x)f(x) = x \sin(x)f(x)=xsin(x)?
∑n=0∞(−1)nx2n+2(2n+1)!\sum_{n=0}^{\infty} (-1)^n \frac{x^{2n+2}}{(2n+1)!}∑n=0∞(−1)n(2n+1)!x2n+2
∑n=0∞(−1)nx2n+1(2n+1)!\sum_{n=0}^{\infty} (-1)^n \frac{x^{2n+1}}{(2n+1)!}∑n=0∞(−1)n(2n+1)!x2n+1
∑n=0∞x2n+2(2n+1)!\sum_{n=0}^{\infty} \frac{x^{2n+2}}{(2n+1)!}∑n=0∞(2n+1)!x2n+2
None of the above