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16A Practice Midterm I
1.a) Find the center and radius of the circle
3
x
2
+
3
ψ
2
 9
ξ
+
6
 9 /4 = 0
b)
Find the domain of f and write your answer in interval notation:
f
(
x
)
=
2
+
1
2
9 
2
2.
Let
f
(
x
)
=
2
1
(
129
2
(
+
229
a) What are the vertical asymptotes of f?
b) Want are the horizontal asymptotes of f?
3.
Let
g
(
x
)
=
1
+
1
and
h
(
x
)
=
1
a) Find g[h(x)]
b)
Find h[g(x1)]
c)
Find the domain of h[g(x)
4. Find the following limits, or explain why the limit does not exist.
a)
lim
x
→ 1
+
2
2
+
3
=
b)
lim
x
→ 2
2
 5
+
6
2
2
 2
 4
=
c)
lim
x
→ 4
5 +
 3
 4
=
d)
lim
x
→ ∞
5
2

+
1
3
2
 7
=
5.
Let
lim
x
→ 2
+
φ
(
29 = 5
and
lim
x
→ 2

(
29 = 3
Circle the numeral in front of the “phrases”
which make the statement corect.
At x = 2, the function f
i) is continuous ii) is
not continuous iii) is differentiable iv) is not differentiable v) has a removable
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This note was uploaded on 06/23/2010 for the course MATH math16 taught by Professor Na during the Spring '10 term at UC Riverside.
 Spring '10
 NA
 Asymptotes

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