[x]=the greatest integer less than x .

say x=3.111 then [x]=3

say x=-3.111 then [x]=-4

say x=3 then [x]=3

say x=-3 then [x]=-3

i couldnot figure out how the function splits. but i have another method to solve it. we know that [x]=x-{x} where {x}=constant as 0<{x}<1. so we break the functions like [2x-1]=2x-1-constant.putting limits we may get the required answer. also floor functions are generally not continuous. and unless a function is continuous u cannot find its limit.please comment!!