Q1(a) and (b) should have lim(j -> infinity), not n -> infinity.
And in question 2, the defenition of the open and closed (1/q) boxes should say, x(j) between zero and 1/q, not 1/m.
Also, in the hint for question 2, should it say "covering (1,1/q)^n by translates", rather than (0,1)^n?