This preview shows pages 1–3. Sign up to view the full content.
Calculus I Quiz 2
Block 1, Version 1
McGill University
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
.
(a) 5,
(b) 3,
(c) 13,
(d) 8,
(e) does not exist.
3. Find lim
x
→∞
9
e
x
+ 10
3
e
x
+ 2
.
(a) 0,
(b) 5,
(c) 3,
(d) 2,
(e) does not exist.
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

.
(a) 0,
(b)

1,
(c) 1,
(d) 1
/
2,
(e) does not exist.
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
(a)
x
= 0,
(b)
x
=

1,
(c)
x
=

3,
(d) two asymptotes,
(e) no asymptote.
8. The horizontal asymptote(s) of
f
(
x
) =
6
x
2

9
x
√
4
x
4
+ 5
is (are) best described by
(a)
y
= 3,
(b)
y
= 3
/
2,
(c)
y
= 6,
(d) two asymptotes,
(e) no asymptote.
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
(a)

21,
(b)

13,
(c)

9,
(d)

6,
(e)

23.
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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Calculus I Quiz 2
Block 1, Version 2
McGill University
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
.
(a) 4,
(b) 7,
(c) 2,
(d) 12,
(e) does not exist.
2. Find lim
x
→
2
x
2
+ 5
x
+ 6
x
+ 3
.
(a) 0,
(b) 4,
(c) 7,
(d) 9,
(e) does not exist.
3. Find lim
x
→
0+
x
3
ln(
x
).
(a)

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

x

.
(a) 0,
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/11/2011 for the course MATH MATH 140 taught by Professor Drury during the Fall '10 term at McGill.
 Fall '10
 Drury

Click to edit the document details