24 lines
619 B
Markdown
24 lines
619 B
Markdown
---
|
|
id: mat-01-limits-continuity
|
|
title: "Limits and continuity"
|
|
---
|
|
|
|
# Limits and continuity
|
|
|
|
## What is a limit
|
|
A limit describes the value that a function approaches as the input approaches a point.
|
|
|
|
## Basic limit laws
|
|
If limits exist, they follow linearity, product, quotient, and power laws.
|
|
|
|
## Special limits
|
|
Two important special limits are:
|
|
- sin x / x as x approaches 0
|
|
- (1 + 1/n)^n as n grows
|
|
|
|
## Continuity
|
|
A function is continuous at a point if the limit equals the function value.
|
|
|
|
## One sided and infinite limits
|
|
Sometimes we consider limits from the left or right, or limits that diverge to infinity.
|