Prove by induction that n^3<n! for all n≤6. Can you even use induction for inequalities? i get this (n+1)^3 < (n+1)! ?...
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Originally Posted by Aquameatwad Prove by induction that n^3<n! for all n≤6. Can you even use induction for inequalities? i get this (n+1)^3 < (n+1)! ?... no, that is what you want to PROVE, assuming that n^3 < n! also i believe that you want to prove this for n ≥ 6, not n ≤ 6, as it is not true for n = 5: 5^3 = 125, 5! = 120.
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