#math/calculus 

L = limit answer
$a_n$

1. $\lim_{x \to \infty} f(x)=L$
2. sum, difference, product, quotient
3. L'Hopital on f(x): [L'Hôpital's rule - Wikipedia](https://en.wikipedia.org/wiki/L%27H%C3%B4pital%27s_rule)
4. squeeze -> $a_{n}\le b_{n}\le c_{n}$ for all $n>1$
5. $\lim_{x \to \infty} \frac{1}{n^{r}} = 0$ for $r>0$
6. $\lim_{x \to+\infty} |a_{n|}= 0$ => $\lim_{x \to \infty}a_{n}=0$
7. $\lim_{x \to \infty} a_{n}=L$ and f is continuous @ L, then $\lim_{x \to \infty} f(a_{n)}=f(L)$