Provide an Appropriate Response $1 - \frac { x ^ { 2 } } { 6 } < \frac { x \sin ( x ) } { 2 - 2 \cos ( x ) } < 1$

Essay

Provide an appropriate response.
-It can be shown that the inequalities $1 - \frac { x ^ { 2 } } { 6 } < \frac { x \sin ( x ) } { 2 - 2 \cos ( x ) } < 1$ hold for all values of $x$ close to zero. What, if anything, does this tell you about $\frac { x \sin ( x ) } { 2 - 2 \cos ( x ) }$ ? Explain.