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Let f(x) ={{:( [sin pi x],0le xle 1),( ...

`Let f(x) ={{:( [sin pi x],0le xle 1),( sgn (x-(5)/(4))xx{x-(2)/(3)},1lexle 2):}`
when [.] 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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