Diverge

Definition

Diverge refers to the behavior of a sequence or series where its terms do not approach any specific value or limit but instead grow infinitely larger or oscillate between different values.

Related terms

Convergence:

Convergence is the opposite of divergence. It describes when a sequence or series approaches a specific value as more terms are added.

Oscillation: Oscillation refers to the repeated movement between two values without converging towards any particular one. It is often observed in sequences or series that diverge.

Infinite Series:

An infinite series is the sum of an infinite number of terms. Divergence plays a significant role in determining whether an infinite series has an infinite sum or does not converge at all.