In the following exercises, sketch the graph of a function with the given properties. 80. lim x → − ∞ f ( x ) = 0 , lim x → − 1 − f ( x ) = ∞ , lim x → − 1 + f ( x ) = − ∞ , f ( 0 ) = − 1 , lim x → 1 − f ( x ) = − ∞ , lim x → 1 + f ( x ) = ∞ , lim x → ∞ f ( x ) = 0
In the following exercises, sketch the graph of a function with the given properties. 80. lim x → − ∞ f ( x ) = 0 , lim x → − 1 − f ( x ) = ∞ , lim x → − 1 + f ( x ) = − ∞ , f ( 0 ) = − 1 , lim x → 1 − f ( x ) = − ∞ , lim x → 1 + f ( x ) = ∞ , lim x → ∞ f ( x ) = 0
In the following exercises, sketch the graph of a function with the given properties.
80.
lim
x
→
−
∞
f
(
x
)
=
0
,
lim
x
→
−
1
−
f
(
x
)
=
∞
,
lim
x
→
−
1
+
f
(
x
)
=
−
∞
,
f
(
0
)
=
−
1
,
lim
x
→
1
−
f
(
x
)
=
−
∞
,
lim
x
→
1
+
f
(
x
)
=
∞
,
lim
x
→
∞
f
(
x
)
=
0
For the function f whose graph is given below, state the value of each quantity, if it exists.
y
5t
3
2
2
(a)
lim f(x) =
X- 2
lim f(x) =
x+2+
(b)
%3D
(c)
lim f(x) :
x-2
(d)
lim f(x) =
x-1
(e)
f(1) =
%3D
후
Evaluate lim
h→0
Answer:
f(4+h)-f(4)
h
where f(x) = 7x + 1.
B. Consider the function f(x) whose graph is shown below. Determine the
following:
-3 -2
3
-
-1
-3f
4. lim f(x) 5. lim f(x)
2
2
3
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