Provide an Appropriate Response $\lim _ { x \rightarrow 0 } f ( x ) = L$

Multiple Choice

Provide an appropriate response.
-If $\lim _ { x \rightarrow 0 } f ( x ) = L$ , which of the following expressions are true?
I. $\lim _ { x \rightarrow 0 ^ { - } } f ( x )$ does not exist.
II. $\lim _ { x \rightarrow0 ^ { + } } f ( x )$ does not exist.
III. $\lim _ { x \rightarrow0 ^ { - } } f ( x ) = L$
IV. $\lim _ { x \rightarrow0 ^ { + } } f ( x ) = L$

A) I and II only
B) II and III only
C) III and IV only
D) I and IV only