Alternating Series Test

Definition

The alternating series test is used to determine whether an alternating series converges by checking if its terms satisfy certain conditions involving decreasing magnitude and approaching zero.

Related terms

Alternating Series:

A series whose terms alternate between positive and negative values.

Absolute Convergence: A type of convergence where both positive and negative terms in a series converge individually.

Conditional Convergence: A type of convergence where rearranging the order of terms in a convergent series can change its sum.