Graphics Reference
In-Depth Information
Answers
1 lim
1/(
n
x
)
0 for all
x
.
3
f
(0)
1,
f
(
x
)
0 when
x
0.
4
f
(
x
)
0 when 0
x
1,
f
(1)
1.
5
f
(
x
)
1 when 0
x
1,
f
(1)
0,
f
(
x
)
1 when 1
x
.
6 Not possiblewith qns 1 or 2.
Question 3 (i)
x
1/10
, (ii)
x
1/100
.
Question 4 (i) 1/
2
x
1, (ii) 1/
2
x
1.
Question 5 (i) 1/
3
x
1or1
x
3,
Question 5
(ii) 1/
3
x
1or1
x
3.
7 1/(
n
x
)
1/
n
.
8
(sin
x
)/
n
1/
n
.
9 0
x
1/
n
.
(0.99)
x
1.
10
11 1/
3
x
1or1
x
3.
12
f
(
x
)
1as
x
0, so
f
f
(
x
)
f
f
(
x
)
:
x
R
(
x
)
1
sup
(
x
)
.
13
f
(
x
)
1as
x
1
,so
f
(
x
)
f
(
x
)
1
sup
f
(
x
)
f
(
x
)
:0
x
1
.
14
f
(
x
)
0as
x
1
,so
f
(
x
)
f
(
x
)
1
sup
f
(
x
)
f
(
x
)
:0
x
1
.
f
(
x
)
0as
x
1
,so
f
(
x
)
f
(
x
)
1
sup
f
(
x
)
f
(
x
)
:1
x
.
17 Thepointwiselimit function is
f
(
x
)
0 whatever the domain.
(i) On [
a
,
a
],
f
(
x
)
f
(
x
)
a
/
n
0as
n
.
f
f
(
x
)
is unbounded for
x
R
(ii) For given
n
,
(
x
)
.
