Limit Comparison Test

Definition

The Limit Comparison Test is used to determine whether an infinite series converges or diverges by comparing it with another known convergent or divergent series. If their limits are equal and nonzero, then both series have the same behavior.

Related terms

Convergent Series: A sequence whose partial sums approach a finite number as more terms are added.

Divergent Series: A sequence whose partial sums do not approach any finite number as more terms are added.

Ratio Test:

A test used to determine whether an infinite series converges or diverges by examining the ratio of consecutive terms.