This problem been giving me fits;
Q: For which nonnegative integers n is nē < n!? prove your answer?
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I know I have to use Basis Step, Inductive Hypothesis and Inductive Step. But when doing the basis step, if you let n > 1, then n^(2) is larger than n!, so how can the Basis hold up? I though Basis is when the LHS is equal to the RHS or it has to be true like 4 > 2.
This is what I am stuck at?