To explain: The meaning of and and the existence of .
The meaning of is, as the values of x gets more closer to 1 from the left that is , the value of arbitrarily approaches 3.
The meaning of is, as the values of x gets more closer to 1 from the right that is , the value of arbitrarily approaches 7.
The equation does not exist since the left-hand limit and right-hand limit are not the same.
Recall the definition of the limit of a function that the limit exists when the right hand limit and the left hand limit are the same.
Since, the left-hand limit is 3 and the right hand limit is 7, does not exist.
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