public-notes/Limits.md

#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