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