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Prove or disprove: There does not exist a function f:NR+{0} such that nko(f(n)), for any k>0, and f(n)o(n), for any >1. (i.e. There is no

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Prove or disprove: There does not exist a function f:NR+{0} such that nko(f(n)), for any k>0, and f(n)o(n), for any >1. (i.e. There is no function that grows faster than every polynomial function and grows slower than every exponential function.)

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