33 lines
540 B
Markdown
33 lines
540 B
Markdown
#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.
|
|
|
|
$$
|
|
\lim _{x \to \infty} \frac 1 x = 0
|
|
$$ |