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) A p-series converges if and diverges if
and are series with positive terms
(i) If is convergent and for all , then is also convergent.
(ii) If is divergent and for all , then is also divergent.
is rational function of with positive terms
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