1-o-Prove-by-recrrence-that-for-n-28-n-11-n-2-o-Deduce-the-limite-of-the-suite-n-10-n-when-n-tend-verse-

Tinku Tara June 4, 2023 Others 0 Comments

Question Number 160361 by LEKOUMA last updated on 28/Nov/21

1^o Prove by recrrence that , for n≥28 , n!≥11^n . 2^o Deduce the limite of the suite (((n!)/(10^n ))) when n tend verse +∞.

$$\mathrm{1}^{{o}} \:{Prove}\:{by}\:{recrrence}\:{that}\:,\:{for} \\ $$$${n}\geqslant\mathrm{28}\:,\:\:{n}!\geqslant\mathrm{11}^{{n}} . \\ $$$$\mathrm{2}^{{o}} \:{Deduce}\:{the}\:{limite}\:{of}\:{the}\:{suite} \\ $$$$\left(\frac{{n}!}{\mathrm{10}^{{n}} }\right)\:{when}\:{n}\:{tend}\:{verse}\:+\infty. \\ $$

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1-o-Prove-by-recrrence-that-for-n-28-n-11-n-2-o-Deduce-the-limite-of-the-suite-n-10-n-when-n-tend-verse-

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