Answer
No.
Work Step by Step
No, the existence and value of limit of function f(x) as x approaches c never depends on what happens at x=c.
For example
$f(x) = \frac{2x^{2}-1}{x-1}$ is not defined at x=1.
but
$\lim\limits_{x \to 1} \frac{2x^{2}-1}{x-1} = 4 $ (using L' Hospital Rule)
The limit is defined.
Thus , the existence and value of limit of function f(x) as x approaches c never depends on what happens at x=c.
