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Let `f(x)=[x][sinx]+[-x][-sinx]+x+[-x][sinx]+[x][-sinx]`, where `[.]` dentoes largest integer function. Then.A. The number of points of discontinuity in `(0,pi)` is 3.B. the number of points of discontinuity in `(0,pi)` is `4`C. `f(x)` is discontinuous at `x=1,2,3`D. `f(x)` is discontinuous at all integers. |
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Answer» Correct Answer - B::C::D `f(x)=([x]+[-x]([sinx]+[-sinx])+x` `{{:(x," , " x in I),(x," , "x in (npi)/2" , " n in I),(x+1," , " "otherwise"):}` point of `D.C.x=1,2,3,(pi)/(2)` |
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