Limits in Calculus
A limit describes the value a function approaches as the input approaches some value. Limits are the foundation of calculus.
Limit Laws
- Sum Law: lim[f(x) + g(x)] = lim f(x) + lim g(x)
- Product Law: lim[f(x) · g(x)] = lim f(x) · lim g(x)
- Quotient Law: lim[f(x)/g(x)] = lim f(x) / lim g(x)
Types of Limits
One-sided limits, infinite limits, and limits at infinity each have specific applications in understanding function behavior.