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 ]
Limit Comparison Test:
and are the series with positive terms
If , where is a finite number and , then either both series converge or both diverge
is algebraic function of .
By concept i) (use the limit comparison test).
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