Question: Is it possible for a power series centered at 0 to converge for x=1, diverge for x=2, and converge for x=3? Why or why not?Find

Is it possible for a power series centered at 0 to converge for x=1, diverge for x=2, and converge for x=3? Why or why not?Find a power series representation for the following series centered at 0. For which values of x are they valid?(a)f(x)=3x512x3(b)f(x)=arctanx

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