Limit
Symbol
lim
Definition
The limit of a function is the value that the function approaches as the input (usually x) approaches a certain value.
Usage
The limit of f(x) as x approaches a is written as lim(x→a) f(x).
Examples
-
Limit of sin(x)/x as x approaches 0
\lim_{x \to 0} \frac{\sin(x)}{x} = 1 -
Limit definition of e
e = \lim_{n \to \infty} (1 + \frac{1}{n})^n