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1. Simplify:
ln5
x
[A]
5
+
ln
x
[B]
5ln
x
[C]
ln
ln
5

x
[D]
ln
ln
5
+
x
2. Find the equivalent of
log
2
x
in terms of the natural logarithm.
[A]
x
2
ln
[B]
ln
ln
2
x
[C]
ln
ln2
x

[D]
ln
ln
x
2
3. Find the limit.
(
29
[
]
6
2
lim
2
2
+
+

→
x
x
x
[A]
2
[B]
– 6
[C]
–14
[D] None of these
4. Find the limit (if it exists).
lim
x
x
x
x
→


+
4
2
4
9
20
[A]
9
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1
5
[C]

1
[D] The limit does not exist.
5. Determine where
9
8
4
)
(
2



=
x
x
x
x
f
is continuous.
[A] at all
x
except
x
=
– 9
and
x
=
1
[B] at all
x
except
x
=
9
and
x
=
–1
[C] at all
x
except
x
=
4,
x
=
9,
and
x
=
–1
[D] at all
x
except
x
=
–
,
4
x
=
–
,
9
and
x
=
1
6. Find any
x
values where the following function is discontinuous.
4
8
)
(
2
3


=
x
x
x
f
[A] The function is discontinuous at
x
=
2.
[B] The function is discontinuous at
x
=
–
.
2
[C] The function is discontinuous at
x
=
2
and
x
=
–
.
2
[D] The function is discontinuous at
x
=
4
and
x
=
–
.
4
7. (SKIP this problem
) Find the limit as
n
→ ∞
.
[A]
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 Fall '10
 Chitturi

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