Two-Sided Limit

Definition

A two-sided limit exists when both left-hand and right-hand limits exist and have an equal value at a particular point. It determines what single value f(x) approaches as x gets arbitrarily close to that point.

Related terms

One-Sided Limits: One-sided limits are limits that approach a specific value from either the left side or the right side of a function. They determine what value a function approaches as x gets closer to a certain point from one direction only.

Continuity:

Continuity refers to functions that have no breaks, holes, or jumps in their graphs; they can be drawn without lifting your pencil.

Asymptote:

An asymptote is an imaginary line that defines where the graph gets infinitely close to but never reaches.