Provide an Appropriate Response $x ^ { 3 } \leq f ( x ) \leq x$

Multiple Choice

Provide an appropriate response.
-If $x ^ { 3 } \leq f ( x ) \leq x$ for $x$ in $[ - 1,1 ]$ , find $\lim _ { x \rightarrow \theta } f ( x )$ if it exists.

A) $- 1$
B) does not exist
C) 0
D) 1