Mathematics Limit and Continuity Evaluation of Limits

\(\rm \displaystyle\lim_{x\rightarrow0}\left[\frac{\sin(x+a)+\sin(a-x)-2\sin a}{x\sin x}\right]\) is equal to

1
sin a
2
cos a
3
-sin a
4
\(\rm \frac{1}{2}\cos a\)

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