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n-R-0-1-montrer-que-k-n-2n-x-k-nx-ln-k-gt-1-4-




Question Number 166049 by SANOGO last updated on 12/Feb/22
nε R/{0,1} montrer que  Σ_(k=n) ^(2n)  (x^k /(nx+ln(k)))>=(1/4)
$${n}\epsilon\:{R}/\left\{\mathrm{0},\mathrm{1}\right\}\:{montrer}\:{que} \\ $$$$\underset{{k}={n}} {\overset{\mathrm{2}{n}} {\sum}}\:\frac{{x}^{{k}} }{{nx}+{ln}\left({k}\right)}>=\frac{\mathrm{1}}{\mathrm{4}} \\ $$

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