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Total questions: 54
Worksheet time: 2hrs 4mins
Name
Class
Date
1.
Find the limit as x approaches 3 from the left
a)
4
b)
3
c)
2
d)
DNE
2.
Find the limit
a)
0
b)
5/2
c)
-4/3
d)
DNE
3.
Find the limit
a)
1/2
b)
0
c)
1
d)
DNE
4.
Find the limit
a)
3/5
b)
infinity
c)
negative infinity
d)
1/2
5.
Find the limit
a)
infinity
b)
8/3
c)
negative infinity
d)
0
6.
Find the limit
a)
1/2
b)
1/4
c)
0
d)
infinity
7.
Find the limit
a)
1
b)
7/8
c)
1738
d)
8/7
8.
Find the limit as x approaches 1 from the left
a)
2
b)
DNE
c)
3
d)
1
9.
Find the limit
a)
1/4
b)
-1/4
c)
1/16
d)
-1/16
10.
Find the limit
a)
6
b)
3
c)
9
d)
1/3
11.
Find the limit
a)
1/3
b)
infinity
c)
negative infinity
d)
3
12.
Find the limit
a)
0
b)
DNE
c)
1/6
d)
1/4
13.
Find the limit
a)
1/6
b)
1/3
c)
1/2
d)
DNE
14.
Find the limit
a)
2
b)
infinity
c)
16
d)
negative infinity
15.
Find the limit
a)
2
b)
1/2
c)
infinity
d)
negative infinity
16.
Find the limit
a)
infinity
b)
negative infinity
c)
-2
d)
-5
17.
Find the limit
a)
4/3
b)
2
c)
1/2
d)
infinity
18.
Where does the hole in the graph occur?
a)
Infinity
b)
Negative Infinity
c)
x=3
d)
x=-3
19.
What is the limit?
a)
DNE
b)
2
c)
-2
d)
Infinity
20.
What is the limit?
a)
Infinity
b)
Negative Infinity
c)
2
d)
-2
21.
What is the limit?
a)
5/2
b)
-2/3
c)
Infinity
d)
17/3
22.
What is the limit?
a)
pi/2
b)
-3/4pi
c)
-3/4
d)
DNE
23.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
24.
What is the limit?
a)
DNE
b)
Infinity
c)
6
d)
12
25.
What is the limit?
a)
3
b)
-3
c)
Infinity
d)
DNE
26.
What is the limit?
a)
DNE
b)
2/3
c)
1/4
d)
Infinity
27.
What is the limit?
a)
Infinity
b)
Negative Infinity
c)
3
d)
-3
28.
What is the limit?
a)
5/2
b)
-2/3
c)
Infinity
d)
17/3
29.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
30.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
31.
What is the limit?
a)
DNE
b)
Infinity
c)
6
d)
12
32.
Find the limit as x approaches 3 from the left
a)
4
b)
3
c)
2
d)
DNE
33.
What is the limit of the function as x approaches -4 from the left?
a)
2
b)
-4
c)
DNE
d)
-2
34.
What is the limit of the function as x approaches 1 from the left?
a)
DNE
b)
1
c)
4
d)
-2
35.
What is the limit of the function as x approaches 1 from the right?
a)
DNE
b)
1
c)
4
d)
-2
36.
Find the limit
a)
4/3
b)
2
c)
1/2
d)
infinity
37.
Find the limit as x approaches 6:
(x2-3x+2)/(x-8)
(x2-3x+2)/(x-8)
a)
-10
b)
10
c)
0
d)
2
38.
Find the lim as x approaches 4.
(x2-16)/(x-4)
(x2-16)/(x-4)
a)
no way to tell
b)
0
c)
8
d)
infinity
39.
A painter can paint an entire house in D days. His assistant requires 4 times as long. If they painted together, how long would it take to paint 2 houses?
a)
2D days
b)
8D/3 days
c)
4D days
d)
8D/5 days
40.
Use interval notion to describe those intervals on which the function is positive.
y=-x(x+2)(x-1)
y=-x(x+2)(x-1)
a)
(-2,0),(1,∞)
b)
(-2,0),(0,1)
c)
(-∞,-2),(0,1)
d)
(0,1),(1,∞)
41.
Find the limit
a)
3/5
b)
infinity
c)
negative infinity
d)
1/2
42.
Find the limit
a)
2
b)
1/2
c)
infinity
d)
negative infinity
43.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
44.
State the domain of the function (only one answer is the best)
a)
all real numbers
b)
x cannot equal 6
c)
x cannot equal 6 or 0
d)
x equals 6 and 0
45.
Evaluate the limit:
a)
0
b)
1
c)
-9/4
d)
∞
46.
Find the limit as x approaches -4-.
a)
3
b)
-2
c)
0
d)
DNE
47.
Find the limit of the function as x approaches 2+.
a)
1
b)
-1
c)
5
d)
DNE
48.
Find the limit of the function as x approaches -8.
a)
-3
b)
-6
c)
-3+
d)
DNE
49.
Is the function continuous when x = -8?
a)
Yes
b)
No
c)
Only from the left
d)
Only from the right
50.
The weights of unicorns are given by N(1000, 25). What is the probability that a unicorn weighs less than 975 pounds?
a)
15.87%
b)
84.13%
c)
46.02%
d)
12.05%
51.
Recall N(1000, 25). In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution?
a)
25
b)
1.25
c)
5.59
d)
4
52.
What happens to the shape of a sampling distribution of sample means as n increases?
a)
It becomes narrower and bimodal.
b)
It becomes narrower and more normal.
c)
It becomes wider and skewed right.
d)
It becomes wider and more normal.
53.
Which sample size for a sampling distribution will have the SMALLEST standard deviation?
a)
n = 10
b)
n = 200
c)
n = 400
d)
n = 1000
54.
The weights of unicorns are given by N(1000, 25). What is the probability that the average weight of 25 randomly selected unicorns is greater than 1010 pounds?
a)
65.54%
b)
97.72%
c)
2.28%
d)
34.46%
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