Evaluation of Limits Quiz: 10 Practice Questions

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

All limits of a function exist.

TRUE

FALSE

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The conjugate of the rational expression should be multiplied on its _____.

Numerator

Denominator

Both numerator and denominator

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow2}\left(2x+3\right)$

7

5

0

1

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow6}\frac{x^2-36}{x-6}$

12

undefined

0

6

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow-1}\frac{x^4-1}{x+1}$

1

undefined

0

-4

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow0}\frac{x^2+x}{x^2-3x}$

$\frac{\text{-1}}{\text{3}}$

undefined

0

$\frac{\text{1}}{\text{3}}$

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow0}\left(2x+3\right)$

7

5

0

3

8.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow1}\left(x^2-2x+1\right)$

1

2

0

3

9.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow0}\frac{x^2-9}{x^2-x-6}$

$\frac{\text{-3}}{\text{2}}$

undefined

0

$\frac{\text{3}}{\text{2}}$

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Evaluate
$\lim_{x\rightarrow0}-3$

-3

5

0

3

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Evaluation of Limits

All limits of a function exist.

The conjugate of the rational expression should be multiplied on its _____.

Evaluate lim⁡x→2(2x+3)\lim_{x\rightarrow2}\left(2x+3\right)x→2lim​(2x+3)

Evaluate lim⁡x→6x2−36x−6\lim_{x\rightarrow6}\frac{x^2-36}{x-6}x→6lim​x−6x2−36​

Evaluate lim⁡x→−1x4−1x+1\lim_{x\rightarrow-1}\frac{x^4-1}{x+1}x→−1lim​x+1x4−1​

Evaluate lim⁡x→0x2+xx2−3x\lim_{x\rightarrow0}\frac{x^2+x}{x^2-3x}x→0lim​x2−3xx2+x​

Evaluate lim⁡x→0(2x+3)\lim_{x\rightarrow0}\left(2x+3\right)x→0lim​(2x+3)

Evaluate lim⁡x→1(x2−2x+1)\lim_{x\rightarrow1}\left(x^2-2x+1\right)x→1lim​(x2−2x+1)

Evaluate lim⁡x→0x2−9x2−x−6\lim_{x\rightarrow0}\frac{x^2-9}{x^2-x-6}x→0lim​x2−x−6x2−9​

Evaluate lim⁡x→0−3\lim_{x\rightarrow0}-3x→0lim​−3

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Discover more resources for Mathematics

Evaluate
$\lim_{x\rightarrow2}\left(2x+3\right)$

Evaluate
$\lim_{x\rightarrow6}\frac{x^2-36}{x-6}$

Evaluate
$\lim_{x\rightarrow-1}\frac{x^4-1}{x+1}$

Evaluate
$\lim_{x\rightarrow0}\frac{x^2+x}{x^2-3x}$

Evaluate
$\lim_{x\rightarrow0}\left(2x+3\right)$

Evaluate
$\lim_{x\rightarrow1}\left(x^2-2x+1\right)$

Evaluate
$\lim_{x\rightarrow0}\frac{x^2-9}{x^2-x-6}$

Evaluate
$\lim_{x\rightarrow0}-3$