This kind of function still be studied .. I dont believe this!!
anyway
f(x)=[2x+1]
lim f(x)=1 as x -->0.5 (left)
lim f(x)=2 as x -->0.5 (right)
lim f(x)=4 as x --> 2 (left)
lim f(x)= DNE as x --> 2 (right) ... DNE = doesn't exist.
since f(x) defined on [0,2]