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7.(8 points) Suppose that the function f is represented by the power series f(x)=\frac{x^{2}}{5^{2} \ln 2}-\frac{x^{3}}{5^{3} \ln 3}+\frac{x^{4}}{5^{4} \ln 4}-\frac{x^{5}}{5^{5} \ln 5}+\ldots a.Find the radio of convergence of f. b.Find

the interval of convergence of f.

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