What is the maximum and minimum value of b2xc − 2 bxc for any real number x? How about if x is any positive real number? If n is a positive integer (i. e. not necessarily 2), what is the maximum and minimum value of bnxc − n bxc for any real number x? How about if x is any positive real number? If m and n are any integers, and x is any positive real number, what are the maximum and minimum values of j x nm k − bx/nc m ?