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T/F?
1. If a power series n=0∑∞​an​xn converges at x=4, then it converges absolutely at x=−2. 2. If a power series n=0∑∞​an​xn converges at x=4, then it converges absolutely at x=4. 3. Suppose that n=0∑∞​an​xn has radius of convergence R>0. Let f(x)=n=0∑∞​an​xn. Then f is continuous on its interval of convergence. 4. Suppose that n=0∑∞​an​xn has radius of convergence R>0. Let f(x)=n=0∑∞​an​xn. Then f is has derivatives of all order on (−R,R) and f′(x)=n=0∑∞​dxd​(an​xn)=n=1∑∞​nan​xn−1 for all x∈(−R,R).