BMES 505 Lecture Notes - Lecture 2: Quotient Rule, European Route E6, Product Rule
Document Summary
Limits enable us to examine how a function is changing or behaving near a particular point of interest, but not necessarily right at that exact location! A function f(x) is continuous at an interior point x=c on its domain if and only if it meets the following 3 criteria: Example: f(c) exists lim f(x) as x approaches c exists lim f(x) = f(c) as x approaches c f(1) exists lim x--> 1 exists lim x+3/x+2 as it approaches 1 should equal f(1) Derivative of a constant f(x) = constant = c.