There is a famous conjecture that for every integern, there exists an integer k such that...

 

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There is a famous conjecture that for every integern, there exists an integer k such that f*(n) = 1. In other words, if you keep applying this function over and overto any number, you will eventually get one. Prove this conjecture. There is a famous conjecture that for every integern, there exists an integer k such that f*(n) = 1. In other words, if you keep applying this function over and overto any number, you will eventually get one. Prove this conjecture.

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Solution The stated conjuncture is Collatz conjecture which states that for every integer n there ex... View the full answer