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Computer Science: Please be sure to make sure answer is legible if answer is written. :)...

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).

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venereology answered 10 months ago
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