What is the Maclaurin series for arctan(x)\arctan(x)arctan(x) and its radius of convergence?
∑n=0∞(−1)nx2n+12n+1\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n+1}}{2n+1}∑n=0∞2n+1(−1)nx2n+1 with R=1R = 1R=1
∑n=0∞(−1)nx2n+1\sum_{n=0}^{\infty} (-1)^n x^{2n+1}∑n=0∞(−1)nx2n+1 with R=1R = 1R=1
∑n=1∞(−1)n+1nxn\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n}x^n∑n=1∞n(−1)n+1xn with R=1R = 1R=1
∑n=0∞x2n+1(2n+1)!\sum_{n=0}^{\infty} \frac{x^{2n+1}}{(2n+1)!}∑n=0∞(2n+1)!x2n+1 with R=∞R = \inftyR=∞