Power Series – Radius of convergence to a series with a multiplication of a polynomial and an exponential in the denominator – Exercise 2897

Exercise

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

1+\frac{x}{3\cdot 2}+\frac{x^2}{3^2\cdot 3}+\frac{x^3}{3^3\cdot 4}+\frac{x^4}{3^4\cdot 5}+...

Final Answer

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Solution

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