Solved: Show that each of these proposed recursive

Chapter 4, Problem 4.3.59

(choose chapter or problem)

Show that each of these proposed recursive definitions of a function on the set of positive integers does not produce a well-defined function. a) F(n) = 1 + F(l(n + 1)/2J) for n :::: 1 and F(I) = 1. b) F(n) = 1 + F(n - 2) for n :::: 2 and F(I) = O. c) F(n) = 1 + F(n/3) for n :::: 3, F(I) = I, F(2) = 2, and F(3) = 3. d) F(n) = 1 + F(n/2) if n is even and n :::: 2, F(n) = 1 + F(n - 2) if n is odd, and F(I) = 1. e) F(n) = 1 + F(F(n - 1 if n :::: 2 and F(I) = 2.

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