To evaluate: The limit of the function .
The limit of the function does not exist.
Suppose that c is a constant and the limits and exist, then
Limit law 2:
Limit law 7:
Limit law 8:
The limit of the denominator is zero.
The limit of the numerator is 6.
The quotient law cannot be used as the denominator of the function tends to zero as .
So, does not exist as the numerator of the function approaches 6 when x tends to 5 and the denominator of the function approaches 0 when x tends to 5.
Thus, the limit of the function does not exist.
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