Approaches

Definition

In calculus, "approaches" refers to the behavior of a function as the input values get closer and closer to a certain value or infinity. It describes how the output values of the function get arbitrarily close to a specific number or approach a particular limit.

Related terms

Limit:

In calculus, "limit" is used to describe what value a function approaches as its input values get arbitrarily close to a certain point. It represents the behavior of a function near that point.

Converge:

When we say that a sequence or series converges, it means that its terms approach a specific value or limit as more terms are added.

Diverge:

On the other hand, when we say that a sequence or series diverges, it means that its terms do not approach any specific value or limit as more terms are added; they may grow infinitely large or oscillate between different values.