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Results tagged with inequalities
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user 490128
for questions involving inequalities, upper and lower bounds.
92
votes
Most elementary proof showing that exponential growth wins against polynomial growth
For $n>k+1$, substitute $2n$ for $n$ in both $2^n$ and $n^k$. Note that the first is multiplied by $2^n$ and the second by $2^k$ which is at least twice as small. Therefore applying this enough times …