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f(x)={[sinpix],0lt=x<1sgn(x-5/4)x{x-2/3}...

`f(x)={[sinpix],0lt=x<1sgn(x-5/4)x{x-2/3},1lt=xlt=2` where [.] denotes the greatest integer function and {.} represents the fractional part function. At what points should the continuity be checked? Hence, find the points of discontinuity.

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