If \( f(x)=\frac{[x]}{|x|}, x \neq 0 \) where [.] denotes the greatest integer function, then \(...

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If \( f(x)=\frac{[x]}{|x|}, x \neq 0 \) where [.] denotes the greatest integer function, then \( f^{\prime}(1) \) is
(a) \( -1 \)
(b) \( \infty \)
(c) nonexistent
(d) none of these
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