Free Printable Basic Cal Q3 Post Test 1

1.

The $\lim_{x\rightarrow a}f\left(x\right)$ exists if and only if,

a)

$\lim_{x\rightarrow0^+}f\left(x\right)=\lim_{x\rightarrow0^-}f\left(x\right)$

b)

$\lim_{x\rightarrow a^+}f\left(x\right)\ne\lim_{x\rightarrow a^-}f\left(x\right)$

c)

$\lim_{x\rightarrow-\infty}f\left(x\right)=\lim_{x\rightarrow+\infty^-}f\left(x\right)$

d)

$\lim_{x\rightarrow a^-}f\left(x\right)=\lim_{x\rightarrow a^+}f\left(x\right)$

2.

A function $f\left(x\right)=\frac{x^2-3x-4}{x+1}$ with a hole at $x=-1$ is shown. What is the limit of the function as x approaches -1?

a)

-4

b)

-5

c)

-3

d)

0

3.

Refer to the table, what is the limit of $f\left(x\right)=x^2+2x$ as x approaches 5?

a)

24

b)

35

c)

48

d)

36

4.

Which of the following graphs represents $\lim_{x\rightarrow c}f\left(x\right)$ exists?

a)

b)

c)

d)

5.

The graph represents a function. Which of the following is not true?

a)

$f\left(c\right)$ is defined

b)

$\lim_{x\rightarrow c^-}f\left(x\right)$ exists

c)

$\lim_{x\rightarrow c^+}f\left(x\right)$ exists

d)

$\lim_{x\rightarrow c}f\left(x\right)=f\left(c\right)$

6.

Refer to the table, what is the limit of $f\left(x\right)=\frac{x^2-4}{x+2}$ as x approaches -2?

a)

-2

b)

-3

c)

-4

d)

-5

7.

Refer to the graph. Which of the following is $g\left(2\right)$ ?

a)

1

b)

2

c)

3

d)

DNE

8.

Refer to the graph. What is $\lim_{x\rightarrow2^+}g\left(x\right)$ ?

a)

DNE

b)

3

c)

2

d)

1

9.

Refer to the graph. What is $\lim_{x\rightarrow2^-}g\left(x\right)$ ?

a)

DNE

b)

3

c)

2

d)

1

10.

Refer to the graph. Which of the following is $\lim_{x\rightarrow2}g\left(x\right)$ ?

a)

1

b)

2

c)

3

d)

DNE

11.

Refer to the graph. Which of the following is $h\left(5\right)$ ?

a)

-1

b)

2

c)

5

d)

6

12.

Refer to the graph. Which of the following is $\lim_{x\rightarrow5}h\left(x\right)$ ?

a)

DNE

b)

2

c)

4

d)

6

13.

Refer to the graph. Which of the following is $\lim_{x\rightarrow-1}h\left(x\right)$ ?

a)

DNE

b)

2

c)

3

d)

4

14.

Refer to the graph, evaluate $\lim_{x\rightarrow3}f\left(x\right)$ .

a)

-3

b)

0

c)

3

d)

DNE

15.

Refer to the table of values, estimate the limit of $f\left(x\right)=\frac{x^2-9}{x-3}$ as x approaches 3.

a)

4

b)

5

c)

6

d)

7

Basic Cal Q3 Post Test 1

Total questions: 15

Worksheet time: 2hrs 25mins

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