7. The following exercises deal with the family of functions F(x) = x - Xx for...
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7. The following exercises deal with the family of functions F(x) = x³ - Xx for X > 0. 1. Find all periodic points and classify them when 0 < X < 1. 2. Prove that, if || is sufficiently large, then f" (r)] → ∞. 3. Prove that if A is sufficiently large, then the set of points which do not tend to infinity is a Cantor set. 7. The following exercises deal with the family of functions F(x) = x³ - Xx for X > 0. 1. Find all periodic points and classify them when 0 < X < 1. 2. Prove that, if || is sufficiently large, then f" (r)] → ∞. 3. Prove that if A is sufficiently large, then the set of points which do not tend to infinity is a Cantor set.
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1 All periodic points are roots of the equation x Xx 0 These roots are 0 12 and 12 The point O is a ... View the full answer
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Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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