Provide an Appropriate Response $\lim f ( x ) = 1$

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

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