\

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. 

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\

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.