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Power Series – Radius of convergence to an alternating series with even powers – Exercise 2921

Exercise

Determine the radius of convergence and interval of convergence for the following power series

1-\frac{x^2}{5\sqrt{2}}+\frac{x^4}{5^2\sqrt{3}}-\frac{x^6}{5^3\sqrt{4}}+\frac{x^8}{5^4\sqrt{5}}+...

Final Answer


[-\sqrt{5},\sqrt{5}]

Solution

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