What is the Maclaurin series for f(x)=sin(x)+cos(x)f(x) = \sin(x) + \cos(x)f(x)=sin(x)+cos(x)?
∑n=0∞xnn!\sum_{n=0}^{\infty} \frac{x^n}{n!}∑n=0∞n!xn
1+x−x22!−x33!+…1 + x - \frac{x^2}{2!} - \frac{x^3}{3!} + \dots1+x−2!x2−3!x3+…
∑n=0∞(−1)nxnn!\sum_{n=0}^{\infty} (-1)^n \frac{x^n}{n!}∑n=0∞(−1)nn!xn
∑n=0∞x2nn!\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}∑n=0∞n!x2n