Let 
and 
be two series with positive
terms and suppose
 |
If 
is finite and 
,
then the two series both converge
or diverge.
Limit Comparison Test
See also
Convergence Tests, Limit, Limit TestExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Limit Comparison Test." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LimitComparisonTest.html