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Prove by induction that 3^n>n^3 where n>3 please.

Quote: Originally Posted by Rubberduckzilla Prove by induction that 3^n>n^3 where n>3 please. Verify n = 4 : sure enough, true. Assume true for n = k - 1 : Prove for n = k: Left Side = the last inequality is true because: When k = 4, we have 1/3 < 9/16 When k = 5, we have 1/3 < 16/25 as k goes to infinity: we have (1/3) < 1 Good luck!!