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

Multiple Choice

Provide an appropriate response.
-Given $\lim _ { x \rightarrow \theta ^ { - } } f ( x ) = L , \lim _ { x - \theta ^ { + } } f ( x ) = L _ { r }$ , and $L _ { 1 } = L _ { r }$ , which of the following statements is false?
I. $\lim _ { x \rightarrow 9 } f ( x ) = L _ { l }$
II. $\lim _ { x \rightarrow \theta } f ( x ) = L _ { r }$
III. $\lim _ { x \rightarrow \theta } f ( x )$ does not exist.

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