If \( f(x)=\| \sin (|x|-1)-2 \mid \) then (a) \( f(x) \) is continuous at \( x=2 \) (b) \( f(x) ...

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If \( f(x)=\| \sin (|x|-1)-2 \mid \) then
(a) \( f(x) \) is continuous at \( x=2 \)
(b) \( f(x) \) is differentiable at \( x=2 \)
(c) \( f^{\prime}(2)=\cos 1 \)
(d) \( f(x) \) is non-differentiable at \( x=0 \)
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