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

`f(x)={([sinpix] ,, 0lt=x<1),(sgn(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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