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Find limits Graphically and Analytically 12SCA1

Total questions: 20

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
What is the limit of the function as x approaches -4 from the left?
a)
2
b)
-4
c)
DNE
d)
-2
2.
a)
0
b)
c)
- ∞
d)
DNE
3.

 Find  limx2 f(x)\lim_{x\rightarrow2^-\ }f\left(x\right)  

a)

-1

b)

5

c)

0

d)

DNE

4.

 Find  limx2+ f(x)\lim_{x\rightarrow2^+\ }f\left(x\right)  

a)

-1

b)

5

c)

0

d)

DNE

5.

 Find  f(2)f\left(2\right)  

a)

-1

b)

5

c)

0

d)

undefined

6.
What is the limit of the function as x approaches 1 from the left?
a)
DNE
b)
1
c)
4
d)
-2
7.
What is the limit of the function as x approaches 1 from the right?
a)
DNE
b)
1
c)
4
d)
-2
8.

The answer to a limit is always the __________ of a function at the given x-value.

a)

intended y-value

b)

actual y-value

c)

x-value

9.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

10.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

11.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

12.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

13.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

14.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

15.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

16.

Find the following limit Analytically

a)

A

b)

B

c)

C

d)

D

17.
What is the limit?
a)
5/2
b)
-2/3
c)
Infinity
d)
17/3
18.
What is the limit?
a)
DNE
b)
Infinity
c)
6
d)
12
19.
a)
4
b)
1/4
c)
0
d)
infinity
20.
Evaluate
a)
-7
b)
0
c)
1
d)
DNE