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Limit Comparison Test

Let $\sum a_k$ and $\sum b_k$ be two Series with Positive terms and suppose

\begin{displaymath}
\lim_{k\to\infty} {a_k\over b_k} = \rho.
\end{displaymath}

If $\rho$ is finite and $\rho > 0$, then the two Series both Converge or Diverge.

See also Convergence Tests




© 1996-9 Eric W. Weisstein
1999-05-25