Graphics Reference
In-Depth Information
99
f
g
(
x
)
f
(
g
(
x
))
f
(0)
f
g
(
x
)
0, so lim
0.
However, lim
g
(
x
)
0 and lim
f
(
y
)
1.
100 lim
f
(
x
)
l
means, for any sequence (
a
)
,(
f
(
a
))
l
:
or, given
0, there exists a number
M
such that
f
(
x
)
l
when
x
M
.
lim
))
l
: or,
given
0, there exists a number
M
such that
f
(
x
)
l
when
x
M
.
f
(
x
)
l
means, for any sequence (
a
)
,(
f
(
a
101 lim
f
(
x
)
means, for all sequences (
a
)
a
with
a
a
,
(
f
(
a
))
; or, given any number
M
, there exists a
such that
M
f
(
x
) when
a
x
a
.
lim
f
(
x
)
means, for all sequences (
a
)
a
with
a
a
,
(
f
(
a
))
; or given any number
M
, there exists a
such that
f
(
x
)
M
when
a
x
a
.
lim
f
(
x
)
means for all (
a
)
a
with
a
a
,(
f
(
a
))
;
or, given any number
M
, there exists a
such that
M
f
(
x
) when
a
x
a
.
lim
f
(
x
)
means for all sequences (
a
)
a
with
a
a
,
(
f
(
a
))
; or, given any number
M
, there exists a
such that
f
(
x
)
M
when
a
x
a
.
