Which series converges on its entire interval of convergence?
∑n=1∞xnn2\sum_{n=1}^{\infty} \frac{x^n}{n^2}∑n=1∞n2xn converges on [−1,1][-1, 1][−1,1] (p-series convergence at both endpoints)
∑n=1∞(−1)nxnn\sum_{n=1}^{\infty} \frac{(-1)^n x^n}{n}∑n=1∞n(−1)nxn converges on [−1,1)[-1, 1)[−1,1) (endpoint x=1x=1x=1 diverges)
∑n=0∞n!xn\sum_{n=0}^{\infty} n! x^n∑n=0∞n!xn converges only at x=0x = 0x=0
All of the above