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