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10 Nov 2019
Question 4. Consider the following subsets of the real numbers. I'l write No for the set of positive integers. A- -1,5.2, 1,3.7) B=[2.3)-(x E R : 2 3) ã«1 G-cos(n) nEN H-(100n-n2 : n EN) Determine which of these sets have upper bounds. For each set that has an upper bound give two different upper bounds and say what you think the least upper bound is. If you are confident of what the least upper bound is then prove it, otherwise just say that you can't prove it. Note that for a mathematician "confidence of truth" "ability to prove".
Question 4. Consider the following subsets of the real numbers. I'l write No for the set of positive integers. A- -1,5.2, 1,3.7) B=[2.3)-(x E R : 2 3) ã«1 G-cos(n) nEN H-(100n-n2 : n EN) Determine which of these sets have upper bounds. For each set that has an upper bound give two different upper bounds and say what you think the least upper bound is. If you are confident of what the least upper bound is then prove it, otherwise just say that you can't prove it. Note that for a mathematician "confidence of truth" "ability to prove".
Nelly StrackeLv2
6 Apr 2019