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.
Analogy
One-sided limits are like approaching a checkpoint from different directions. Just as you may have to follow different paths to reach the same checkpoint, one-sided limits consider how a function behaves when approaching a point from different sides.
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.
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