Let $f\left(x\right)=\{8^{\frac{1}{x}},x<0a\left[x\right],a\in R-\left\{0\right\},x\ge 0,$ (where [.] denotes the greatest integer function). Then (a) $f\left(x\right)$ is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at $x=0$

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