(a)
\The function is
.
Graph :
\Graph the function
:
.gif\")
Observe the graph.
\As
tends to
from left hand side, the value of
approaches to
.
So
.
As
tends to
from right hand side, the value of
approaches to
.
So
.
Left hand limit and right hand limit are equal, so
is exist.
Therefore
.
(b)
\The function is
.
Construct the table with nearest value of
, to estimate the value of
:
![]() | \
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![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Observe the table.
\The value of
at
is
and the value of
at
is
.
Therefore the value of
at
is
.
.
.