Provide an Appropriate Response $\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L _ { 1 } , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = L _ { r }$

Multiple Choice

Provide an appropriate response.
-Given $\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L _ { 1 } , \lim _ { x \rightarrow \theta ^ { + } } f ( x ) = L _ { r }$ , and $L _ { 1 } \neq L _ { r }$ , which of the following statements is true?
I. $\lim _ { x \rightarrow - } f ( x ) = L _ { 1 }$
II. $\lim _ { x \rightarrow \theta } f ( x ) = L _ { r }$
III. $\lim _ { x \rightarrow 0 } f ( x )$ does not exist.

A) none
B) III
C) II
D) I