The graph of the function $f$ is shown above. Which of the following statements is false?
(A) $\lim _ { x \rightarrow 2 } f ( x )$ exists.
(B) $\lim _ { x \rightarrow 3 } f ( x )$ exists.
(C) $\lim _ { x \rightarrow 4 } f ( x )$ exists.
(D) $\lim _ { x \rightarrow 5 } f ( x )$ exists.
(E) The function $f$ is continuous at $x = 3$.