NEKG33 Mathematical methods for economists
Chapter 16 : Day 16
By Lund University
Today we will learn about limits. Do you remember how the "lim" appeared in the definition of the derivative? Well, it's time to take it on. Oh yeah, a bit on continuity as well.
Limits and continuity
The main objective of this chapter is to study the derivative of a function. However, in order to understand the definition of a derivative we must look at limits. The limit of a function is the value that a function takes when x gets close to, but is not exactly equal to, a given value. Limits are closely related to another concept called continuity. Informally, a function is continuous if its graph is “connected”.
Rough introduction to limits
Rough introduction to limits at infinity
Rough introduction to infinite limits
Rough introduction to continuity
Limits and continuity: Problems
Exercises on limits and continuity