Multiple Choice: Which of the following expressions equals $\operatorname{cos}(2)$ ?

1. $\lim\limits _ { x \rightarrow 0 } \frac { \operatorname { sin } ( x + 2 ) - \operatorname { sin } ( 2 ) } { x }$

2. $\lim\limits_ { x \rightarrow 0 } \frac { \operatorname { sin } ( 2 + x ) - \operatorname { sin } ( 2 - x ) } { 2 x }$

3. $\lim\limits_ { x \rightarrow 2 } \frac { \operatorname { sin } x - \operatorname { sin } ( 2 ) } { x - 2 }$