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Basic Calculus Exercises 1.1

Total questions: 22

Worksheet time: 11mins

Name
Class
Date
1.

Which explains what is meant by the equation limx2f(x)=5\lim_{x\rightarrow2}f\left(x\right)=5  ?

a)

The values of f(x) as x is 2 equals 5

b)

The values of f(x) as x approaches from the left and right of 2 is 5 and f(2) must be 5

c)

The value of f(2) is 5.

d)

The values of f(x) as x approaches to 2 from the left and right is 5 but f(2) is not necessarily 5

2.

is it possible that limx2f(x)=5 but f(2) =3?\lim_{x\rightarrow2}f\left(x\right)=5\ but\ f\left(2\right)\ =3?  

a)

Yes

b)

No

c)

As long as it is convergent

d)

As long as it is divergent

3.

Which is the meaning of limx3f(x)=?\lim_{x\rightarrow-3}f\left(x\right)=\infty?  

a)

x=-3 is a horizontal line

b)

y=-3 is a vertical line

c)

x=-3 is a horizontal line

d)

x=-3 is a vertical line

4.

Which of the following is the meaning of limx3+f(x)=?\lim_{x\rightarrow3^+}f\left(x\right)=-\infty?  

a)

x=3 is a vertical asymptote only from the left of 3

b)

x=3 is a vertical asymptote only from the right of 3

c)

y=3 is a vertical asymptote only from the left of 3

d)

y=3 is a vertical asymptote only from the right of 3

5.

From the graph, what is limx1f(x)=?\lim_{x\rightarrow1}f\left(x\right)=?  

a)

1

b)

2

c)

3

d)

DNE

6.

From the graph, what is limx3f(x)=?\lim_{x\rightarrow3^-}f\left(x\right)=?  

a)

1

b)

2

c)

3

d)

DNE

7.

From the graph, what is limx3+f(x)=?\lim_{x\rightarrow3^+}f\left(x\right)=?  

a)

2

b)

3

c)

4

d)

DNE

8.

From the graph, what is limx3f(x)=?\lim_{x\rightarrow3^{ }}f\left(x\right)=?  

a)

2

b)

3

c)

4

d)

DNE

9.

From the graph, what is f(3)? 

a)

2

b)

3

c)

4

d)

DNE

10.

From the graph, what is limx7f(x)?\lim_{x\rightarrow-7}f\left(x\right)?  

a)

-4

b)

-\infty  

c)

+ \infty  

d)

0

11.

From the graph, what is limx3f(x)?\lim_{x\rightarrow-3}f\left(x\right)?  

a)

-4

b)

-\infty  

c)

+ \infty  

d)

0

12.

From the graph, what is limx0f(x)?\lim_{x\rightarrow0}f\left(x\right)?  

a)

-4

b)

-\infty  

c)

+ \infty  

d)

0

13.

From the graph, what is limx3f(x)=?\lim_{x\rightarrow3^{ }}f\left(x\right)=?  

a)

2

b)

3

c)

4

d)

DNE

14.

From the graph, what is limx6f(x)=?\lim_{x\rightarrow6^-}f\left(x\right)=?  

a)

++\infty  

b)

- \infty  

c)

4

d)

DNE

15.

From the graph, what is limx6+f(x)=?\lim_{x\rightarrow6^+}f\left(x\right)=?  

a)

++\infty  

b)

- \infty  

c)

4

d)

DNE

16.

From the graph, what are the equations of the vertical asymptotes?

a)

x=-7

x=-3

x=0

x=6

b)

-7

-3

0

6

c)

y=-7

y=-3

y=0

y=6

d)

x-axis

y-axis

17.

identify the limit of f(x) as x goes to 0 from the left.

a)

0

b)

1

c)

2

d)

3

18.

identify the limit of f(x) as x goes to 0 from the right.

a)

0

b)

1

c)

2

d)

3

19.

identify the limit of f(x) as x goes to 0.

a)

0

b)

1

c)

2

d)

3

20.

Identify the limit given at the left.

a)

undefined

b)

DNE

c)

0.5

d)

1/3

21.

Use a table or graph to find the limit shown at the left.

a)

0

b)

1

c)

1.5

d)

1.6

22.

Use a table or graph to find the limit shown at the left.

a)

0

b)

1

c)

1.5

d)

1.6