The function is
, at
.
Continuity Test condition 1:
\Find if
exists.
Substitute
in
.


.
The function is defined at
.
Continuity Test condition 2:
\Find if
exists.
Construct a table that shows the values of
for
-values approaching
from the left and from the right.
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Observe the table values, as
tends to
from the left and from the right,
approaches to
.
.
Continuity Test condition 3: Check
.
Observe above two conditions,
\Since
,
is continuous at
.
is continuous.