T/F?
Posted: Thu Jul 14, 2022 4:21 pm
T/F?
1. The power series n=0∑∞n!xn converges for all x. 2. If a power series n=0∑∞anxn converges at x=1, then it must converge at x=−1. 3. If a power series n=0∑∞anxn converges at x=2, then it must converge at x=−1.
1. The power series n=0∑∞n!xn converges for all x. 2. If a power series n=0∑∞anxn converges at x=1, then it must converge at x=−1. 3. If a power series n=0∑∞anxn converges at x=2, then it must converge at x=−1.