MAA 3200 Midterm: MAA 3200 FIU Exam 303k

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15 Feb 2019
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Exam iii and key: short answer (5 pt each) Prof. s. hudson: let e = {x r : 5x n and x > 2}. Find inf e: let u = q. An increasing sequence must either converge in r, or diverge to + . If n n, 0 < xn+1 < xn/2, then xn 0. M, n , such that if n n then n > m . If sup e = b > 0 then e (0, b) 6= . If n n, xn+1 xn yn yn+1 then x r, n n, xn x yn. The proofs were mostly ok, but the results weren"t so good on problems 1-2. [this set is like the one in the proof of the density theorem. It includes the numbers 11/5, 12/5, 13/5 etc. Just note the pattern and choose the rst term. ] 1b) let e = {x q|x2 < 2}.

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