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Solved: deal with values of iterated functions. Suppose

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 63E Chapter 5.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 63E

deal with values of iterated functions. Suppose that f(n) is a function from the set of real numbers, or positive real numbers, or some other set of real numbers, to the set of real numbers such that f(n) is monotonically increasing [that is, f(n)<f(m) when n<m) and f(n)<n for all n in the domain of f.] The function f(k)(n) is defined recursively by

Furthermore, let c be a positive real number. The iterated function  is the number of iterations of f required to reduce its argument to c or less, so  is the smallest nonnegative integer k such that fk(n) ≤ c.

Let f(n) = n ‒ a, where a is a positive integer. Find a formula for f(k)(n). What is the value of  when n is a positive integer?

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Lecture 11- Plotting,Part 2 Thursday,October13,201612:07PM set Function One wayto customize your axes • • set(variable name for gca, 'what you're modifying ',...

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Chapter 5.3, Problem 63E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Solved: deal with values of iterated functions. Suppose

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