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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 at .
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