\
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
.