Free Printable Calculus 10 WW # 2

1.

Find the limit. Hint: Where is the horizontal asymptote?

a)

³/₇

b)

0

c)

$\infty$

d)

$-\infty$

2.

Find the limit. Hint: Where is the horizontal asymptote?

a)

^-2/₉

b)

0

c)

$\infty$

d)

$-\infty$

3.

$\lim_{x\rightarrow\infty}\ \frac{2x-3}{4x\ +1}$

a)

0

b)

DNE

c)

1/2

d)

2

4.

Determine the limit at infinity by finding the slant asymptote using long division and then looking at the end behavior of the slant asymptote.
$\lim_{x\rightarrow\infty}\left(\frac{x^2-x-12}{x+3}\right)$

a)

$\infty$

b)

$-\infty$

c)

-3

d)

4

5.

Find the limit

a)

⁶/₅

b)

0

c)

$\infty$

d)

$-\infty$

6.

$\lim_{x\rightarrow\infty}\ \frac{x^3-x^2+1}{5-3x-x^4}=...$

a)

0

b)

-1

c)

-5

d)

$\infty$

e)

$-\infty$

7.

$\lim_{x\rightarrow\infty}\ \frac{1-2x+2x^3}{x^3+x+1}=\ ...$

a)

- 4

b)

- 2

c)

1

d)

2

e)

$\infty$

8.

a)

Does Not Exist

b)

9

c)

1

d)

0

9.

a)

0

b)

-1

c)

$\infty$

d)

- $\infty$

10.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

11

d)

DNE

11.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

0

d)

DNE

12.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

11

d)

DNE

13.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

0

d)

DNE

14.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

0

d)

DNE

15.

What is the limit as x approaches 2?

a)

0

b)

4

c)

$\frac{1}{4}$

d)

DNE

16.

What is the limit as -2 from the left?

a)

$\infty$

b)

$-\infty$

c)

0

d)

$-\frac{1}{4}$

17.

Identify the vertical asymptote(s) in the function above. (Hint: The last three problems used this same function.)

a)

$x=2$

b)

$x=\pm2$

c)

$x=-2$

d)

There are no vertical asymptotes.

18.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

0

d)

5

19.

a)

$\infty$

b)

$-\infty$

c)

0

d)

DNE

20.

Evaluate the limit.

a)

$\infty$

b)

$-\infty$

c)

0

d)

5

21.

Identify the horizontal asymptote(s). (Hint: The last two question used the same function.)

a)

$y=5$

b)

$y=-5$

c)

$y=\pm5$

d)

There are no horizontal asymptotes.

22.

Find the limit as x approaches 3 from the left

a)

4

b)

3

c)

2

d)

DNE

23.

Find the limit of the function as x approaches 2⁺.

a)

1

b)

-1

c)

5

d)

DNE

24.

What is the limit of the function as x approaches -4 from the left?

a)

2

b)

-4

c)

DNE

d)

-2

25.

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

a)

DNE

b)

1

c)

4

d)

-2

Calculus 10 WW # 2

Total questions: 25

Worksheet time: 25mins

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