Unformatted text preview: ity). b) Use this deﬁnition to show that lim n →∞ n 7 + 18 n 4 = ∞ . Problem 5 (3 points) Calculate sup Ω and inf Ω for the following subsets of R . (One or both may not exist). a) Ω = [5 , 4) ∪ { 12 } ; b) Ω = Q ∩ (1 , 3); c) Ω = { x ∈ R :  3 x + 7  > 2 } . Problem 6 (2 bonus points) Explain the mathematics behind the following (it’s not that tricky, the point is to explain it in a mathematically precise way): http://www.milaadesign.com/wizardy.html Due: 3PM, Wednesday, 17/3/2010. Current assignments will be available at http://www.maths.uq.edu.au/courses/MATH2400/Tutorials.html...
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 Three '10
 Grotowski
 Natural Numbers, Wikipedia, logistic sequence, mathematically precise way

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