Let f(x) =x[1/x]+x[x] if x!=0 ; 0 if x ...

Let `f(x) =x[1/x]+x[x] if x!=0 ; 0 if x =0` where[x] denotes the greatest integer function. then the correct statements are (A) Limit exists for x=-1 (B) f(x) has removable discontonuity at x =1 (C) f(x) has non removable discontinuity at x =2 (D) f(x) is discontinuous at all positive integers

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