Question

Let n be in $\mathbb{N}$. Show that

$\phi$ is the empty set.

Answer 1

If possible suppose that nina) * 0 then there Texiof KER Such that Emin o) nal =) 2E [h,00) for all hy, I tince we know that for reach real number VER there Esist a positive integer in such that myr fet k be a positive integer such that ea k then x¢ [k,o) which Cospadict the fact S that de [n,oo) for all ny, Therefore our supposition n [2,00) #0 is wrong hol tence [1,00) 6. hal