1.

Let f(x)=[x][sinx]+[-x][-sinx]+x+[-x][sinx]+[x][-sinx], where [.] dentoes largest integer function. Then.

Answer»

The number of POINTS of DISCONTINUITY in `(0,pi)` is 3.
the number of points of discontinuity in `(0,pi)` is `4`
`f(x)` is discontinuous at `x=1,2,3`
`f(x)` is discontinuous at all integers.

Solution :`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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