Power Serieshard
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Let f(x)=n=0anxnf(x) = \sum_{n=0}^{\infty} a_n x^n be a power series with a finite radius of convergence RR. If ana_n satisfies the relation an=an1n2+1n2+na_{n} = a_{n-1} \cdot \frac{n^2 + 1}{n^2 + n}, which of the following is the correct radius of convergence RR for this series?