Two-sided Limit Test

Definition

The two-sided limit test determines if a function has a limit at a specific point by comparing its left-hand limit and right-hand limit at that point.

Related terms

One-Sided Limit: A one-sided limit focuses on either approaching from the left side or approaching from the right side of a specific point to determine if there's an existing limit.

Continuity:

Continuity refers to when there are no sudden jumps or breaks in a function's graph. In terms of limits, it means that both one-sided limits exist and are equal at every point within an interval.

Discontinuity:

Discontinuity occurs when there is a sudden jump or break in a function's graph. It indicates that the function does not have a limit at that specific point.