\
The function is
.
(a)
\Graph :
\Graph the function
:

From the graph, there are two horizontal asymptotes and one vetical asymptote.
\Find
.
Observe the graph.
\As
tends to
,
approaches to
.
Hence
.
Find
.
Observe the graph.
\As
tends to
,
approaches to
.
Hence
.
\
(b)
\The function is
.
Construct the table for different values of
, to estimate the value of
:
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Observe the table.
\As
tends to large positive number, then
approaches to
.
Hence
.
Construct the table for different values of
, to estimate the value of
:
![]() | \
![]() | \
![]() | \
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Observe the table.
\As
tends to large positive number, then
approaches to
.
Hence
.
\
(c)
\The function is
.
Find
.

.
Find
.

As
then
becomes
.

.
\
(a)
and
.
(b)
and
.
(c)
and
.