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

Multiple Choice

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

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