Free Printable BT giới hạn vô cực

1.

lim $\frac{n^3-2n}{1-3n^2}$

a)

$-\infty$

b)

$\frac{-1}{3}$

c)

$\frac{2}{3}$

d)

$+\infty$

2.

lim $\left(5n-3n^3\right)$

a)

$-\infty$

b)

$+\infty$

c)

-3

d)

5

3.

Phát biểu nào sau đây đúng?

a)

$\lim\ \frac{n^3}{n^2+1}=-\infty$

b)

$\lim\ \left(3^{n\ }-9^n\right)=-\infty$

c)

$\lim\ \frac{3n+1}{n-1}=-\infty$

d)

$\lim\ \frac{2n+1}{n^2+3}=-\infty$

4.

$\lim\frac{2n+3n^3}{4n^2+2n+1}$

a)

3/4

b)

$+\infty$

c)

0

d)

2/4

5.

$\lim\frac{3n-n^4}{4n-5}$

a)

0

b)

$+\infty$

c)

$-\infty$

d)

3/4

6.

\lim u_n=-\infty

a)

$u_n=\frac{1+2n}{5n+5n^2}$

b)

$u_n=\frac{n^3+2n-1}{-n+2n^3}$

c)

$u_n=\frac{2n^2-3n^4}{n^2+2n^3}$

d)

$u_n=\frac{n^2-2n}{5n+1}$

7.

$\lim\left(3n^2+5n-3\right)$

a)

3

b)

$-\infty$

c)

-3

d)

$+\infty$

8.

$\lim\left(3^4.2^{n+1}-5.3^n\right)$

a)

$-\infty$

b)

$\frac{1}{3}$

c)

$-1$

d)

$\frac{\sqrt{2}}{3}$

9.

a)

$0$

b)

$+\infty$

c)

$-\infty$

d)

$\frac{7}{2}$

10.

Chọn Mệnh đề sai

a)

Nếu $\lim u_{n\ }=\ c>0;\ \lim v_{n\ }=\ +\ \infty\$ thì $\lim\left(u_{n\ \cdot}v_{n\ }\right)=+\infty.$

b)

Nếu $\lim u_{n\ }=\ c;\ \lim v_{n\ }=\ +\ \infty$ thì $\lim\frac{u_{n\ }}{v_{n\ }}=0$

c)

Nếu $\lim u_{n\ }=\ c;\ \lim v_{n\ }=+\ \infty$ thì $\lim\left(\text{u}_n\cdot v_{n\ }\right)=\ +\ \infty$

d)

Nếu $q>1$ thì $\lim q^{n\ }=+\infty$

BT giới hạn vô cực

Total questions: 10

Worksheet time: 5mins

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