Calculus I Quiz 2
Block 1, Version 1
McGill University
Department of Mathematics & Statistics
MATH 140 Quiz 2
Version 1
25 minutes duration
Calculators are not allowed
This examination has 10 multiple choice questions. They are to be answered on the answer card provided.
Correct answers count 4 points, incorrect answers 1 points. Be sure to enter on the answer card:
•
Your student number.
•
The version of the exam that you are taking, i.e. version 1.
•
Your name.
•
The check code, i.e. the first two letters of your family name.
1.
Find lim
x
→
2
x
2
+ 5
x
+ 6
x
+ 3
.
(a) 4,
(b) 7,
(c) 9,
(d) 0,
(e) does not exist.
2.
Find lim
x
→
3
x
2
+ 2
x

15
x

3
.
3.
Find
lim
x
→∞
9
e
x
+ 10
3
e
x
+ 2
.
4.
Find
lim
x
→
0+
x
5
ln(
x
).
(a)
∞
,
(b) 0,
(c)

1,
(d)
∞
,
(e) does not exist.
5.
Find lim
x
→
0
sin(
x
)

x

.
6.
Find
lim
x
→∞
sin(
x
7
)
x
4
.
(a)

5,
(b) 0,
(c)

1,
(d) 5,
(e) does not exist.
7.
The vertical asymptote(s) of
f
(
x
) =
√
2
x
4
+ 7
x
2
+ 4
x
+ 3
is (are) best described by
8.
The horizontal asymptote(s) of
f
(
x
) =
6
x
2

9
x
√
4
x
4
+ 5
is (are) best described by
9.
Suppose that
b
is such that the function
f
(
x
) =
‰
2
x
+
b
if
x <
5,
2

3
x
if
x
≥
5.
is continuous everywhere. Then the value of
b
is
10.
Both the base and the height of a rectangle are increasing at a rate of 4 inches per minute. At what
rate (in square inches per minute) is the area of the rectangle increasing when it measures 6
×
5 inches?
(a) 44,
(b) 65,
(c) 28,
(d) 29,
(e) 36.
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Calculus I Quiz 2
Block 1, Version 2
McGill University
Department of Mathematics & Statistics
MATH 140 Quiz 2
Version 2
25 minutes duration
Calculators are not allowed
This examination has 10 multiple choice questions. They are to be answered on the answer card provided.
Correct answers count 4 points, incorrect answers 1 points. Be sure to enter on the answer card:
•
Your student number.
•
The version of the exam that you are taking, i.e. version 2.
•
Your name.
•
The check code, i.e. the first two letters of your family name.
1.
Find lim
x
→
3
x
2
+
x

12
x

3
.
2.
Find lim
x
→
2
x
2
+ 5
x
+ 6
x
+ 3
.
3.
Find
lim
x
→
0+
x
3
ln(
x
).
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 Fall '10
 Drury
 lim, Inch, version, answer card, McGill University Department of Mathematics

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