Question: Let G = { 0 , 1 , _ } be the tape alphabet for all TMs in this problem. Define the busy beaver function

Let G={0,1,_} be the tape alphabet for all TMs in this problem. Define the busy beaver function BB: N->N as follows: For each value of k, consider all k-state TMs that halt when started with a blank tape. Let BB(k) be the maximum number of 1s that remain on the tape among all of these machines. Show that BB is not a computable function.

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