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Limits.md

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