Free Printable Limits Skill Assessment 1

1.

a)

0/0

b)

DNE

c)

-1/4

d)

1/4

2.

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

a)

Does not exist

b)

-7/5

c)

-1/3

d)

-1/2

3.

a)

Does not exist

b)

-2

c)

0

d)

-1

4.

a)

DNE

b)

Infinity

c)

6

d)

12

5.

a)

0

b)

∞

c)

- ∞

d)

DNE

6.

What is the limit? $\lim_{x\rightarrow3}\ \frac{5x+2}{x-3}$

a)

5/2

b)

-2/3

c)

DNE

d)

17/3

7.

a)

0

b)

1

c)

2

d)

DNE

8.

What is the limit of the function as x approaches 1 from the left?

a)

DNE

b)

1

c)

4

d)

-2

9.

What is the limit?

a)

DNE

b)

2/3

c)

1/4

d)

Infinity

10.

a)

0/0

b)

1/2

c)

1/4

d)

-1/4

11.

Define a limit

a)

The value of a function at a certain x-value

b)

The value of x when a function hits a certain point

c)

The value a function approaches when x approaches a certain value

12.

a)

9

b)

-1

c)

1/4

d)

0

13.

Given the graph of f(x), what is $\lim_{x\rightarrow2^-}\ f\left(x\right)$ ?

(a)

14.

$\lim_{h\rightarrow0}^{ }\frac{\left(x+h\right)^2-x^2}{h}$

a)

2

b)

2x

c)

2h

d)

0/0

15.

$\lim_{x\rightarrow2}\left(\frac{x^2-4}{x^3-8}\right)$

a)

1/3

b)

-1/3

c)

0/0

d)

1/4

16.

$\lim_{x\rightarrow5}\left(4\pi-2\right)$

a)

$4\pi-2$

b)

5

c)

18

d)

$18\pi$

17.

$\lim_{x\rightarrow3}f\left(x\right)$

a)

4

b)

3

c)

7

d)

DNE

18.

$\lim_{x\rightarrow0}f\left(x\right)$

a)

0

b)

0.1

c)

-0.1

d)

DNE

19.

$\lim_{x\rightarrow0}\left(\frac{\sqrt{x+10}-\sqrt{10}}{x}\right)$

a)

$\frac{1}{2\sqrt{10}}$

b)

0/0

c)

DNE

d)

$2\sqrt{10}$

20.

$\lim_{x\rightarrow6}f\left(x\right)$

a)

DNE

b)

2

c)

5

d)

6

Limits Skill Assessment 1

Total questions: 20

Worksheet time: 35mins

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