#Math #Calculus

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

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

where x approaches y.

You can substitute numbers in for limit variables, such as

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

Limits can go around certain constraints.

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

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

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

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

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