Graphics Reference
In-Depth Information
32 See Fig. 6.6.
33 See Fig. 6.7. Use qns 22, 32, 23, and 26.
34 See Fig. 6.8. Proof as qn 33.
35
x
x
x
x
x
x
x
x
x
x
x
.
Also
x
x
x
x
x
0
x
x
.
(
x
x
)
(
x
x
)
x
0.
36 Let (
a
)
a
, then (
f
(
a
))
f
(
a
) and (
h
(
a
))
h
(
a
)
f
(
a
).
So (
g
(
a
))
f
(
a
)
g
(
a
)
h
(
a
) from qn 3.54(viii), the squeeze rule.
(
x
x
),
g
f
in qn 35, and
h
(
x
)
(
x
x
37 In qn 36, take
f
(
x
)
).
By qns 33 and 34,
f
and
h
arecontinuous. By qns 35 and 36,
g
is
continuous at 0.
Let
a
0 bea rational numbr. If
a
a
2/
n
,
g
(
a
)
a
,so
ƒ(
x
) =
x
Figure6.6
1
2
ƒ(
x
) = (
x
+
x
)
Figure6.7
