Computer Science:
Please be sure to make sure answer is legible if answer is written.
:)
Prove that for any positive integer k, the open line segment
(1/2k+1, 1/2k) contains uncountably many real numbers. You must
apply Cantor’s diagonalization directly, i.e., you cannot base your
proof on the fact that the line segment (0, 1) contains uncountably
many reals (hint: think in binary).