T/F?
Posted: Thu Jul 14, 2022 4:09 pm
T/F?
If f(x)=n=0∑∞n!xn for all x, then f(4)(0)=4!. 2. If f(x)=n=0∑∞(2n)!x2n for all x, then f(3)(0)=0. 3. The power series n=0∑∞xn has radius of convergence R=1 and interval of convergence (−1,1). 4. The power series n=0∑∞(−1)n+1xn has radius of convergence R=1 and interval of convergence [−1,1).
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