Unformatted text preview: f erence  f ( x ) − f ( y )  is at most 2 − k . For arbitrary x, y ∈ [0 , 1] one can choose an unique k ∈ N such that 3 − k − 1 <  x − y  ≤ 3 − k , which implies  f ( x ) − f ( y )  ≤ 2 − k . Rewrite the estimate without involving k. ) 2. (10 points) Do Exercise 20 in p. 48. 3. (10 points) Do Exercise 21 in p. 48. 4. (10 points) Do Exercise 23 in p. 49. 1...
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 Fall '08
 Akhmedov,A
 Continuous function, Lipschitz continuous function

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