Question

If is a positive real number, then
^x
can be negative for​

Answer 1

Answer:

AP ⟹ there exist n such that n>x. The set X = {m:m>x} is a non empty set of positive integers so it has a minimum element k. Then [x]:=k−1 (if k−1>x then k−1 is an element of X but it can't be so k−1≤x)