Unformatted text preview: a n +1 = 1 + 1 1 + a n , n ∈ N , where a 1 = 1. Use problem 2 above to show that { a n } is convergent and ﬁnd its limit. 3: Let f : [0 , 1] → R be continuous and onetoone. Show that f is strictly monotone. 1...
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 Fall '10
 Tamasan
 Calculus, Topology, Fibonacci number, Compact space

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