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Summative One-sided Limits 8th block

Total questions: 15

Worksheet time: 40mins

Name
Class
Date
1.

Find the limit of

 lim⁡x→2+3x+1\lim_{x\rightarrow2^+}3x+1  

a)

7

b)

6

c)

4

d)

10

2.

Find the limit of

 lim⁡x→4−2x+((4−x))\lim_{x\rightarrow4^-}2x+\left(\sqrt{\left(4-x\right)}\right)  

a)

7

b)

8

c)

4

d)

10

3.

Find the limit of

 lim⁡x→−1+(x2−1x2+5x+4)\lim_{x\rightarrow-1^+}\left(\frac{x^2-1}{x^2+5x+4}\right)  

a)

0

b)

Undefined

c)

 −23-\frac{2}{3}  

d)

10

4.

Find the limit of  lim⁡x→4−x+5\lim_{x\rightarrow4^-}\sqrt{x+5}  

a)

0

b)

Undefined

c)

3 

d)

 −1-1  

5.

What is the right hand limit of the function as a approaches 1 from the graph?

a)

3

b)

4

c)

5

d)

-1

6.

What is the left hand limit of the function as a approaches 1 from the graph?

a)

3

b)

4

c)

5

d)

-1

7.

Find the limit of

 lim⁡x→−1+∣x+1∣\lim_{x\rightarrow-1^+}\left|x+1\right|  

a)

0

b)

Undefined

c)

1

d)

2

8.

 lim⁡x→−10−∣x+10∣x+10\lim_{x\rightarrow-10^-}\frac{\left|x+10\right|}{x+10}  

a)

 00  

b)

does not exist

c)

 11  

d)

 −1-1  

9.

What is  lim⁡x→0− f(x)\lim_{x\rightarrow0^-}\ f\left(x\right)  ?

a)

-3

b)

The limit DOES NOT EXIST.

c)

-5

10.

Evaluate the limit

a)

DNE

b)

1

c)

-1

d)

∞\infty

11.

Evaluate the limit

a)

DNE

b)

1/9

c)

1/3

d)

1/6

12.

Evaluate lim⁡x→2f(x)\lim_{x\rightarrow2^{ }}f\left(x\right)  

a)

-0.5

b)

-1

c)

0

d)

undefined

13.

Evaluate lim⁡x→−3−f(x)\lim_{x\rightarrow-3^-}f\left(x\right)  

a)

0.75

b)

-1

c)

0

d)

undefined

14.

Evaluate f(−3)f\left(-3\right)  


a)

.75

b)

-1

c)

0

d)

undefined

15.

Evaluate

a)

0

b)

1

c)

DNE

d)

ohhh that's pretty