The function is ,
.
Definition of continuity :
\A function is continuous at
, if
then it should satisfy three conditions :
(1) is defined.
(2) exists.
(3) .
Condition (1): is defined.
Substitute in the above expression.
.
is defined.
Condition (2): exists.
exists.
Condition (3): .
and
.
.
The three conditions of continuity are satisfied, hence the function is continuous.
\The function is continuous at
.
The function is continuous at
.