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Let f(x)={{:(x^(alpha)sin\ (1/x)sinpi...

Let `f(x)={{:(x^(alpha)sin\ (1/x)sinpix\ \ \ ;\ \ x\ !=0),( 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ ;\ \ \ x=0):}` If Rolles theorem is applicable to `f(x)` on `[0,1]` then range of `alpha` is
(a) `-oo lt alpha lt -1`
(b) `alpha=1`
(c) `-1 lt alpha lt oo`
(d) `alpha ge 0`

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