Ononot — Let f(x) = \sum{n=0}^{\infty} an x^n be a power series with

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Power Serieshard

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Let $f(x) = \sum_{n=0}^{\infty} a_n x^n$ be a power series with radius of convergence $R$ . If the sequence of coefficients $\{a_n\}$ is defined by the recurrence relation $a_{n+1} = \frac{n+2}{n+1} a_n$ with $a_0 = 1$ , what is the radius of convergence $R$ ?