info prev up next book cdrom email home

Conditional Convergence

If the Series

\begin{displaymath}
\sum_{n=0}^\infty u_n
\end{displaymath}

Converges, but

\begin{displaymath}
\sum_{n=0}^\infty \vert u_n\vert
\end{displaymath}

does not, where $\vert x\vert$ is the Absolute Value, then the Series is said to be conditionally Convergent.

See also Absolute Convergence, Convergence Tests, Riemann Series Theorem, Series




© 1996-9 Eric W. Weisstein
1999-05-26