Step 1:
\The function is ,
.
A function is continuous at
, if
then it should satisfy three conditions :
(1) is defined.
(2) exists.
(3) .
Step 2:
\(1)
\Substitute in the above expression.
is defined.
(2)
\ exists.
(3)
\ and
.
From above the three conditions are satisfied.
\Hence, the function is continuous.
\Solution :
\The function is continuous at
.