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Giới hạn hàm số - Thầy Vũ

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Tìm giới hạn  lim⁡x→2 x2−4x2−3x+2\lim_{x\rightarrow2}\ \frac{x^2-4}{x^2-3x+2}  

a)

1

b)

2

c)

3

d)

4

2.

 lim⁡x→−1 x2−1x2+3x+2\lim_{x\rightarrow-1}\ \frac{x^2-1}{x^2+3x+2}  bằng?

a)

 12\frac{1}{2}  

b)

 −12-\frac{1}{2}  

c)

2

d)

-2

3.

 lim⁡x→5 x2−5xx2−25\lim_{x\rightarrow5}\ \frac{x^2-5x}{x^2-25}  bằng?

a)

 12\frac{1}{2}  

b)

 15\frac{1}{5}  

c)

 52\frac{5}{2}  

d)

5

4.

 lim⁡x→2 x2−2x−2x2+6x−4\lim_{x\rightarrow2}\ \frac{x^2-2x}{-2x^2+6x-4}  bằng?

a)

 −2-2  

b)

 −1-1  

c)

 −12-\frac{1}{2}  

d)

2

5.

 lim⁡x→1 x3−x2−x+1−x2+3x−2\lim_{x\rightarrow1}\ \frac{x^3-x^2-x+1}{-x^2+3x-2}  bằng?

a)

 00  

b)

 12\frac{1}{2}  

c)

1

d)

2

6.

 lim⁡h→0 (x+h)3−x3hx\lim_{h\rightarrow0}\ \frac{\left(x+h\right)^3-x^3}{hx}  bằng?

(a)  

7.

 lim⁡x→2 4x2+x−18x3−8\lim_{x\rightarrow2}\ \frac{4x^2+x-18}{x^3-8}  bằng?

a)

 1217\frac{12}{17}  

b)

 1512\frac{15}{12}  

c)

 1215\frac{12}{15}  

d)

 1712\frac{17}{12}  

8.

 lim⁡x→5 x2+x−302x2−9x−5\lim_{x\rightarrow5}\ \frac{x^2+x-30}{2x^2-9x-5}  bằng?

(a)  

9.

 lim⁡x→12 2x2−5x+24x2−14x2−1\lim_{x\rightarrow\frac{1}{2}}\ \frac{2x^2-5x+24x^2-1}{4x^2-1}  bằng?

a)

 32\frac{3}{2}  

b)

 −32-\frac{3}{2}  

c)

 −34\frac{-3}{4}  

d)

 12\frac{1}{2}  

10.

 lim⁡x→−1 2x2+3x+1−x2+4x+5\lim_{x\rightarrow-1}\ \frac{2x^2+3x+1}{-x^2+4x+5}  bằng?

a)

 −16\frac{-1}{6}  

b)

 −14\frac{-1}{4}  

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

11.

 lim⁡x→0 x+1−x2+x+1x\lim_{x\rightarrow0}\ \frac{\sqrt{x+1}-\sqrt{x^2+x+1}}{x}  bằng?

(a)  

12.

 lim⁡x→7 x−3−249−x2\lim_{x\rightarrow7}\ \frac{\sqrt{x-3}-2}{49-x^2}  bằng?

a)

 −27\frac{-2}{7}  

b)

 −156\frac{-1}{56}  

c)

 27\frac{2}{7}  

d)

 156\frac{1}{56}  

13.

 lim⁡x→2 2−x+2x2−3x+2\lim_{x\rightarrow2}\ \frac{2-\sqrt{x+2}}{x^2-3x+2}  bằng?

a)

 −14\frac{-1}{4}  

b)

 14\frac{1}{4}  

c)

 12\frac{1}{2}  

d)

 −12\frac{-1}{2}  

14.

 lim⁡x→2 4x+1−3x2−4\lim_{x\rightarrow2}\ \frac{\sqrt{4x+1}-3}{x^2-4}  bằng?

a)

 16\frac{1}{6}  

b)

 14\frac{1}{4}  

c)

 13\frac{1}{3}  

d)

 12\frac{1}{2}  

15.

 lim⁡x→1 2x−7−3x3−4x2+3\lim_{x\rightarrow1}\ \frac{\sqrt{2x-7}-3}{x^3-4x^2+3}  bằng?

a)

 15\frac{1}{5}  

b)

 −25\frac{-2}{5}  

c)

 22  

d)

 −2-2