Free Printable LIMITS AND CONTINUITY

1.

$\lim_{x\rightarrow2}$ $\frac{x^2-4}{x^2+4}$

a)

1

b)

0

c)

- $\frac{1}{2}$

d)

-1

e)

$\infty$

2.

$\lim_{x\rightarrow\infty}$ $\frac{4-x^2}{x^2-1}$ is

(a)

3.

$\lim_{x\rightarrow3}$ $\frac{x-3}{x^2-2x-3}$ is

a)

0

b)

1

c)

$\frac{1}{4}$

d)

$\infty$

e)

4

4.

$\lim_{x\rightarrow0}$ $\frac{x}{x}$

(a)

5.

a)

-1

b)

- $\frac{1}{2}$

c)

0

d)

$\frac{1}{2}$

e)

1

6.

$\lim_{x\rightarrow\infty}\frac{2x^2+1}{\left(2-x\right)\left(2+x\right)}$

(a)

7.

$\lim_{x\rightarrow0}$ $\frac{\left|x\right|}{x}\ is$

a)

0

b)

does not exist

c)

1

d)

-1

e)

none of them

8.

a)

except at x = 1

b)

except at x = 2

c)

except at x = 1 or 2

d)

except at x = 0,1, or 2

e)

at each real number

9.

a)

I only

b)

II only

c)

I and II

d)

none of them

e)

all of them

10.

$\lim_{x\rightarrow\infty}$ $\frac{2^{-x}}{2^x}$

(a)

LIMITS AND CONTINUITY

Total questions: 10

Worksheet time: 20mins

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