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Consider f(x)=[[2(sinx-sin^3x)+|sinx-si...

Consider `f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx-sin^3x|]], x != pi/2` for `x in (0,pi), f(pi/2) = 3` where [ ] denotes the greatest integer function then,

A

f is continuous and differentiale at `x=(pi)/2`

B

f is continuous but not differentiable at `x=(pi)/2`

C

f is neither continuous nor differentiable at `x=(pi)/2`

D

None of the above

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The correct Answer is:
A
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