Which of the following are true statements (indicate all that apply)?
If \sum_{n=0}^{\infty} |a_n||x - x_0|^n converges, then \sum_{n=0}^{\infty} a_n (x - x_0)^n converges.
If \sum_{n=0}^{\infty} a_n (x - 5)^n converges when x = 2, then it also converges when x = 7.
If \sum_{n=0}^{\infty} a_n (x - 5)^n converges when x = 2, then it might be divergent when x = 8.
If \sum_{n=0}^{\infty} a_n (x - 5)^n converges when x = 2, then it might be convergent when x = 8.
If \sum_{n=0}^{\infty} a_n (x - x_0)^n converges, then \sum_{n=0}^{\infty} |a_n||x - x_0|^n converges.