Limits and Continuity

Limits describe the behavior of a function as the input approaches a certain value. Continuity means a function has no breaks, jumps, or holes.

Key Concepts

• Limit: limx→a f(x) is the value f(x) approaches as x approaches a.
• Continuity: A function f(x) is continuous at x=a if limx→a f(x) = f(a).

Examples

limx→2 (3x + 1) = 7