Giới hạn dãy

Giới hạn hàm

\(\eqalign{
& \lim {1 \over n} = 0 \cr
& \lim {1 \over {{n^k}}} = 0,k \in {\mathbb Z^*} \cr
& \lim {q^n} = 0,|q| < 1 \cr
& \lim c = c \cr
& \lim {n^k} = + \infty ,k \in {\mathbb Z^*} \cr
& lim{q^n} = + \infty ,q > 1 \cr} \)

\(\eqalign{
& \mathop {\lim }\limits_{x \to {x_0}} x = {x_0} \cr
& \mathop {\lim }\limits_{x \to {x_0}} c = c \cr
& \mathop {\lim }\limits_{x \to \pm \infty } {c \over {{x^k}}} = 0,k \in {\mathbb Z^*} \cr} \)

\(\mathop {\lim }\limits_{x \to  - \infty } {x^k} =  + \infty \)  (nếu \(k\) chẵn)

 \(\mathop {\lim }\limits_{x \to  - \infty } {x^k} =  - \infty \)  (nếu \(k\) lẻ)