Of course, not It is not possible to locate
such points Infact, if a point x0 is closest to 0, then
we find 
0
0
x2
<x
 for all 
0
x ∈(0,1) Also, if x1 is closest
to 1, then 
1
1
x21
x
+
>
 for all 
1
x ∈(0,1)