Convergence in AP Calculus AB/BC

Definition

Convergence refers to the behavior of a sequence or series where its terms approach a specific value or limit as more terms are added. In other words, it describes when a sequence or series gets closer and closer to a particular value.

Related terms

Divergence:

Divergence is the opposite of convergence. It describes when a sequence or series does not approach any specific value but instead grows infinitely larger or oscillates between different values.

Limit:

A limit represents the value that a function approaches as its input approaches a certain point. It plays an essential role in determining convergence since sequences and series converge towards their limits.

Infinite Series:

An infinite series is the sum of an infinite number of terms. Convergence is a crucial concept when dealing with infinite series, as it determines whether the series has a finite sum or not.