Nth Term Test/Limit Test

Definition

The nth Term Test, also known as the Limit Test, is a method used to determine the convergence or divergence of a series. It states that if the limit of the terms in a series does not equal zero, then the series diverges.

Related terms

Convergence:

A series is said to converge if its terms approach a finite value as more terms are added.

Divergence:

A series is said to diverge if its terms do not approach a finite value as more terms are added.

Infinite Series:

An infinite sum of numbers written in the form of ∑(a_n), where n ranges from 1 to infinity.