Integral Test

Definition

The integral test is a method used to determine the convergence or divergence of an infinite series by comparing it to the convergence or divergence of an improper integral.

Related terms

Convergence:

The property of a series that indicates it approaches a finite value as more terms are added.

Divergence:

The property of a series that indicates it does not approach a finite value as more terms are added.

Improper Integral:

An integral with one or both limits being infinite, or having an integrand that becomes unbounded at some point within its interval.