Question: Devise a recursive algorithm to find the floor of a non-negative real number x. For each of the problems perform the following tasks 1. write

Devise a recursive algorithm to find the floor of a non-negative

Devise a recursive algorithm to find the floor of a non-negative real number x. For each of the problems perform the following tasks 1. write the recursive definition of the function 2. Describe the algorithm in pseudocode 3. prove the correctness of the algorithm using induction

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