Describe the Dedekind cut corresponding to 27. Determine which part of the cut the following numbers lie in: 7, 6, 6.14, 3TT. Give an example of a sequence that converges to √11, and that is not monotone. Explain why f(x) = |x − 4| is continuous at 4. (Thus, f(x) = x - 4 if x > 4 and 4 - x if x ≤ 4.) Are any open subsets of R sequentially compact? Explain why or why not.

Q: 21

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