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Infinite Seriesmedium
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For a series ∑an\sum a_n∑an​, if an=f(n)g(n)a_n = \frac{f(n)}{g(n)}an​=g(n)f(n)​ where fff and ggg are polynomials of degree dfd_fdf​ and dgd_gdg​, the series converges if: