Quiz about Basic Calculus Exercises 1.1

Question 1

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

Accepted Answer

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

Answer

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

Answer

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

Answer

The value of f(2) is 5.

Question 2

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

Accepted Answer

Yes

Answer

No

Answer

As long as it is convergent

Answer

As long as it is divergent

Question 3

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

Accepted Answer

x=-3 is a vertical line

Answer

x=-3 is a horizontal line

Answer

y=-3 is a vertical line

Answer

x=-3 is a horizontal line

Question 4

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

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

Accepted Answer

2

Answer

1

Answer

3

Answer

DNE

Question 6

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

Accepted Answer

1

Answer

2

Answer

3

Answer

DNE

Question 7

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

Accepted Answer

4

Answer

2

Answer

3

Answer

DNE

Question 8

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

Accepted Answer

DNE

Answer

2

Answer

3

Answer

4

Question 9

From the graph, what is f(3)?

Accepted Answer

3

Answer

2

Answer

4

Answer

DNE

Question 10

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

Accepted Answer

$$-\infty$$

Answer

-4

Answer

+ $$\infty$$

Answer

0

Question 11

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

Accepted Answer

+ $$\infty$$

Answer

-4

Answer

$$-\infty$$

Answer

0

Question 12

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

Accepted Answer

+ $$\infty$$

Answer

-4

Answer

$$-\infty$$

Answer

0

Question 13

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

Accepted Answer

DNE

Answer

2

Answer

3

Answer

4

Question 14

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

Accepted Answer

- $$\infty$$

Answer

$$+\infty$$

Answer

4

Answer

DNE

Question 15

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

Accepted Answer

$$+\infty$$

Answer

- $$\infty$$

Answer

4

Answer

DNE

Question 16

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

Accepted Answer

x=-7

x=-3

x=0

x=6

Answer

-7-306

Answer

y=-7

y=-3

y=0

y=6

Answer

x-axis

y-axis

Question 17

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

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 18

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

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 19

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

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 20

Identify the limit given at the left.

Accepted Answer

0.5

Answer

undefined

Answer

DNE

Answer

1/3

Question 21

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

Accepted Answer

1.6

Answer

0

Answer

1

Answer

1.5

Question 22

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

Accepted Answer

1

Answer

0

Answer

1.5

Answer

1.6

Basic Calculus Exercises 1.1

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