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Section, Instructor
Student Number
Name(printed)
APSC 171 MIDTERM TEST
October 28, 1999
(White)
Page 1 of 3 pages
Marks per question are indicated in bold in the right margin. Please make your answers as
clear
and
precise
as possible.
1.
Find the following limits. If a limit does not exist, please explain.
(i) lim
x
→∞
p
x
2
+ 1

p
x
2
+
x
[3]
(ii) lim
x
→
1
√
x

1
x
2

1
[3]
(iii) lim
x
→∞
sin
x
[2]
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Page 2 of 3 pages
2.
Let
f
(
x
) =
x
2
e
sin
x
. Compute
f
0
(
x
).
[3]
3.
Find
h
0
(
x
) if
h
(
x
) =
arcsin
x
arccos
x
.
[2]
4.
Let
C
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 Fall '09
 ProfessorRoth

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