Limits

Math Calculus

Limits are when a number gets really close to another number but never actually reaches it. It is notated by

$$\underset{x\to y}{\lim }$$

where x approaches y.

You can substitute numbers in for limit variables, such as

$$\underset{x\to 1}{\lim }x+1=2$$

Limits can go around certain constraints.

$$\frac{1-x}{1-x}$$

would not be defined at $x=1$, however

$$\underset{x\to 1}{\lim }\frac{1-x}{1-x}=1$$

Limits can also approach infinity, to use “infinity” in certain situations.

$$\underset{x\to \infty }{\lim }\frac{1}{x}=0$$