quartz/content/vault/find limits.md

#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
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)