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Limits Review

Total questions: 45

Worksheet time: 1hrs 11mins

Name
Class
Date
1.
If f(x) is continuous at interval [a,b], and f(a) is positive and f(b) is negative, then f(c)=0, where c is include in [a,b].
a)
True
b)
False
2.

Find the limit as x approaches 4

a)

1

b)

5

c)

0

d)

DNE

3.

Find the limit as x approaches 7+

a)

1

b)

5

c)

0

d)

DNE

4.

Find f(4)

a)

1

b)

5

c)

0

d)

DNE

5.

Select all the values where f(x) is NOT continuous

a)

1

b)

4

c)

5

d)

9

6.
What is the limit?
a)
5/2
b)
-2/3
c)
Infinity
d)
17/3
7.
a)
1/2
b)
0
c)
Positive Infinity
d)
Negative Infinity
8.

List the horizontal and vertical asymptotes of the function.

a)

x = 3

b)

x = -3

c)

y = -2

d)

y = 2

9.

Find the value of f so that f(x) is continuous at x = -1

a)

3

b)

-3

c)

1

d)

-1

10.
a)
A
b)
B
c)
C
d)
D
11.
a)
0
b)
-1
c)
infinity
d)
-infinity
12.
a)
Does not exist
b)
2
c)
0
d)
1
13.
a)
0/0
b)
1/2
c)
1/4
d)
-1/4
14.
a)
0/0
b)
DNE
c)
-1/4
d)
1/4
15.
Find the value that will make the following continuous
a)
-3
b)
-2
c)
-1
d)
c=0
16.
What is the horizontal asymptote to this function?
a)
x=4
b)
y=0
c)
none
d)
y=4
17.
If limit when x approaches to positive infinity of f(x)=x/(x2+3) is 0, then the graph of f(x)  has horizontal asymptote at y=0.
a)
True
b)
False
18.
Evaluate
a)
-7
b)
0
c)
1
d)
DNE
19.
1
a)
4
b)
1/4
c)
0
d)
infinity
20.
a)
Does Not Exist
b)
9
c)
1
d)
0
21.
a)
0
b)
√5/2
c)
1/2
d)
√5
22.
a)
2
b)
-2
c)
1/2
d)
-1/2
23.
Evaluate the limit
a)
a
b)
b
c)
c
d)
d
24.
Evaluate the limit
a)
a
b)
b
c)
c
d)
d
25.
Given this table, what limits are most accurate?
a)
As x approaches 3, the limit is infinity
b)
As x approaches 3, the limit is negative infinity
c)
As x approaches 3 from the left, the limit is negative infinity & as x approaches 3 from the right, the limit is infinity
d)
As x approaches 3 from the left, the limit is infinity and as x approaches 3 from the right, the limit is negative infinity
26.

Select all statements that are TRUE.

a)
b)
c)
d)
e)
27.
a)
1/5
b)
1
c)
5
d)
Does not exist
28.

What is the first sense to develop in a baby?

a)

Smell

b)

Hear

c)

Taste

d)

Touch

29.

Which of the following animal's young one is called "Fingerling"?

a)
b)
c)
d)
30.
The world biggest gold producer is ____________.
a)
China
b)
Mexico
c)
South Africa
d)
Chile
31.
If Ω + 3Φ = 25 and Φ = 5.
Then 3Ω + 4Φ =
a)
15
b)
25
c)
30
d)
50
32.

On average, how long do cats sleep a day?

a)

16-20 hours

b)

10-15 hours

c)

13-15 hours

d)

20-22 hours

33.

Which chess piece can only move diagonally?

a)

Rook

b)

Queen

c)

Pawn

d)

Bishop

34.

What is the height of a basketball hoop in feet?

a)

7 feet

b)

10 feet

c)

13 feet

d)

16 feet

35.
What is the name of Woody's owner in Toy Story?
a)
Andy
b)
Ryan
c)
Mark
d)
Andrew
36.

In what film do you find a group of vegetarian sharks?

a)

Shark Tale

b)

The Little Mermaid

c)

Finding Nemo

d)

Shark Tank

37.

What is the world's tallest building?

a)

Burj Khalifa

b)

Shanghai Tower

c)

KK100

d)

Princess Tower

38.

How long does it take for light from the Sun to reach Earth?

a)

20 hours 8 minutes

b)

8 minutes 20 seconds

c)

20 minutes 8seconds

d)

8 hours 20 minutes

39.

The only number that has the same number of letters as its meaning

a)

4

b)

2

c)

5

d)

0

40.

Which actor has won the most Oscar awards?

a)

Meryl Streep

b)

Jack Nicholson

c)

Tom Hanks

d)

Katharine Hepburn

41.

Which sneaker company is second to Nike in sales?

a)

Puma

b)

Converse

c)

Adidas

d)

Under Armour

42.

What is the largest city in the Philippines? (land area)

a)

Cebu

b)

Manila

c)

Davao

d)

Makati

43.

With an average altitude of 1.56 miles, what is the highest continent?

a)

Antarctica

b)

Asia

c)

North America

d)

Europe

44.

What was the first full-length animated motion picture, released in 1995, to be completely computer-generated?

a)

Chicken Run

b)

Toy Story

c)

Alladin

d)

A bug's life

45.

What herb is traditionally found on a margherita pizza?

a)

Thyme

b)

Basil

c)

Rosemary

d)

Oregano