## 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

#### Limit laws

#### Continuity laws

## Limits and continuity: Problems

Exercises on limits and continuity