Step-by-step Answer
PAGE: 30SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

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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