One-sided Limits

Definition

One-sided limits are used to determine what value a function approaches from either the left side (approaching from values less than x) or right side (approaching from values greater than x). They help analyze behavior near specific points on graphs.

Related terms

Limit:

The value that a function approaches as the input (x) approaches a certain value or infinity.

Continuity:

A property of functions where there are no abrupt jumps, holes, or vertical asymptotes in their graphs.

Discontinuity:

A point on a graph where the function is not continuous, often indicated by jumps, holes, or vertical asymptotes.