Khẳng định nào sau đây không đúng?

lim ⁡ x → 0 f ( x ) = 0 \lim_{x\rightarrow0^{\ }}f\left(x\right)=0 x → 0 lim f ( x ) = 0

lim ⁡ x → 0 + f ( x ) = 0 \lim_{x\rightarrow0^+}f\left(x\right)=0 x → 0 + lim f ( x ) = 0

Không tồn tại lim ⁡ x → 0 f ( x ) \lim_{x\rightarrow0}f\left(x\right) x → 0 lim f ( x )

lim ⁡ x → 0 − f ( x ) = − 1 \lim_{x\rightarrow0^{-\ }}f\left(x\right)=-1 x → 0 − lim f ( x ) = − 1

Khẳng định nào sau đây là sai ?

Với lim ⁡ x → x 0 f ( x ) = L \lim_{x\rightarrow x_0}f\left(x\right)=L x → x 0 lim f ( x ) = L lim ⁡ x → x 0 f ( x ) = M . \lim_{x\rightarrow x_{0\ }}f\left(x\right)=M. x → x 0 lim f ( x ) = M . Khi đó: lim ⁡ x → x 0 ( f ( x ) g ( x ) ) = L M \lim_{x\rightarrow x_0}\left(\frac{f\left(x\right)}{g\left(x\right)}\right)=\frac{L}{M} x → x 0 lim ( g ( x ) f ( x ) ) = M L

Nếu lim ⁡ x → x 0 + f ( x ) ≠ lim ⁡ x → x 0 − f ( x ) \lim_{x\rightarrow x_0^+}f\left(x\right)\ne\lim_{x\rightarrow x_0^-}f\left(x\right) x → x 0 + lim f ( x )  = x → x 0 − lim f ( x ) thì không tồn tại lim ⁡ x → x 0 f ( x ) \lim_{x\rightarrow x_0}f\left(x\right) x → x 0 lim f ( x )

Không tồn tại lim ⁡ x → 0 ( x ∣ x ∣ ) \lim_{x\rightarrow0}\left(\frac{x}{\left|x\right|}\right) x → 0 lim ( ∣ x ∣ x )

lim ⁡ x → x 0 − f ( x ) = L \lim_{x\rightarrow x_0^-}f\left(x\right)=L x → x 0 − lim f ( x ) = L , L được gọi là giới hạn trái của hàm số f(x) khi x tiến đến x 0 x_{0\ } x 0

GIỚI HẠN HÀM SỐ

Authored by Thắng Nguyễn Đình

Mathematics

11th Grade

Used 11+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Giá trị của $\lim_{x\rightarrow+\infty}\frac{3-2x+x^3}{3x^2-x^3}$ bằng

$\frac{1}{3}$

-1

-3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Giá trị của $\lim_{x\rightarrow0}\ \frac{\sqrt[]{1-x}-1}{x}$

$+\infty$

$\frac{1}{2}$

$-\frac{1}{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\lim_{x\rightarrow\left(-2\right)}\left(\frac{\sqrt{x^2+5}-3}{x+2}\right)$ bằng ?

$-\frac{2}{3}$

$-\infty$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Chọn đáp án đúng:

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$0$

$1$

$2$

$-1$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Giá trị của $\lim_{x\rightarrow3}\ \frac{x^4-27x}{2x^2-3x-9}$ bằng

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Giá trị của $\lim_{x\rightarrow-\infty}\left(-x^2-2\right)$ là

$-\infty$

-2

$+\infty$

-1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Giá trị của $\lim_{x\rightarrow-1}\frac{x+1}{2\left(x^2-x+1\right)}$ là

$-\infty$

$\frac{1}{2}$

$+\infty$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Giá trị của $\lim_{x\rightarrow2}-\frac{x^2-4}{2-x}$

-4

-2

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$+\infty$

$-\infty$

$\frac{1}{48}$

$2$

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