#### Answer

The limit values can not be determined $\lim\limits_{x \to 1}f(x)$ until we have the values of function $f(x)$ near x = 1.

#### Work Step by Step

The existence and non-existence of the limit $\lim\limits_{x \to 1}f(x)$ does not depend on whether the function is defined or not defined at the point near $x=c$.
Thus, when $f(1) = 5$, then it is not necessary that the limit would exist as $x \to 1$.