Test the series for convergence or divergence.
The series for convergence or divergence.
i) If the series has a form that is similar to a p-series or a geometric series, then one of the comparison tests should be considered. In particular, if is a rational function or an algebraic function of (involving roots of polynomials), then the series should be compared with a p-series.
ii. p- series is convergent if, and divergent if,
Limit comparison test:
are the series with positive terms. If finite number, then both series are either convergent or divergent.
Here, is a rational function.
Therefore, use the limit comparison test to test the convergence of given series.
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