MATH
30
QUIZ
2
S6\
u
h&s
Section 2.2
-
2.4
1.
Sketch the graph of an example of a function
f
that satisfies all of the given
conditions:
4.
Given that lim (3x
-2)
=
13,
find
6
>
0
so that, for any
E
>
0,
x
45
((3x
-
2)
-
131
<
E
whenever
0
<
Ix
-
51
<
6.
(I
am not asking
you
to write
the formal proof; just do the "aside".)
1
b~-:-z)
-131
=
3x-151
=
3
\~-5\
SF
~\x-s\~E
4
\r-s\c
%
.
6-
L/3
.
limf(x)
=
3,
lirn f(x)
=
3, iim
f(x)
=
-3, f(1)
=
1, and f(4)
=
-1
r-1
X-4- x-4-
0
-..,a
-
.
-
2. Evaluate
\im
q-3
x-7
x
-7
\
=l
-33-
3
6
X37-
CK-+-)f)Cm
+31
X+t
9g+)(rn+31
y-+
3. Evaluate
=
0