619 B
619 B
| id | title |
|---|---|
| mat-01-limits-continuity | 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.