MHB Proof of Inequality by Induction

sbrajagopal2690
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need help on this

Show by induction that n^3 <= 3^n for all natural numbers n.
 
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Re: Proof of Inequlity by Induction

sbrajagopal2690 said:
need help on this

Show by induction that n^3 <= 3^n for all natural numbers n.
Hint: If $n\geqslant 3$ then $(n+1)^3 \leqslant \bigl(n+\frac n3\bigr)^3$.
 

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