Arithmetic Questions

Question Number 100270 by Coronavirus last updated on 25/Jun/20

Answered by abdomsup last updated on 26/Jun/20

$${A}_{{n}} =\sum_{{k}={n}} ^{\mathrm{2}{n}} \:\frac{\pi}{{k}}\:=_{{p}={k}−{n}} \pi\:\sum_{{p}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{{p}+{n}} \\$$$$=\frac{\pi}{{n}}\sum_{{p}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{1}+\frac{{p}}{{n}}}\rightarrow\pi\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{dx}}{\mathrm{1}+{x}} \\$$$$\pi{ln}\left(\mathrm{2}\right)\:\Rightarrow{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} =\pi{ln}\mathrm{2} \\$$

Commented by Ar Brandon last updated on 26/Jun/20

cool Mr mathmax��

Answered by DGmichael last updated on 26/Jun/20

Commented by Ar Brandon last updated on 26/Jun/20

�� C'est cool DG, même comme c'est pas tout à fait ce qu'il...����

Commented by DGmichael last updated on 26/Jun/20

quelle était donc sa question ??

Commented by Ar Brandon last updated on 26/Jun/20

Non, c'est tout à fait sa question. Mais ça ressemble beaucoup à une autre question qu'on avait posé en fs math et p'tit génie. C'est un peu complexe aussi. il suffit d'inclure sinus.

Commented by 4635 last updated on 26/Jun/20

$${ist}\:{the}\:{very}\:{good} \\$$

Commented by Ar Brandon last updated on 26/Jun/20

ouais Takou

Commented by Rasheed.Sindhi last updated on 26/Jun/20

$${French}? \\$$

Commented by Ar Brandon last updated on 26/Jun/20

�� Do you feel offended, Sir ?

Commented by Rasheed.Sindhi last updated on 26/Jun/20

$${No}\:{sir}\:{no}.\:{Just}\:{for}\:{knowledge}. \\$$$${Many}\:{languages}\:{are}\:{written} \\$$$${in}\:{roman}\:{script}.{I}\:{only}\:{guess}. \\$$

Commented by Rasheed.Sindhi last updated on 26/Jun/20

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Commented by Ar Brandon last updated on 26/Jun/20

Actually I invited some of my classmates to join the forum and they're mostly French-speakers trying to get adapted to English-Language.������ No worries I hope.

Commented by Rasheed.Sindhi last updated on 26/Jun/20

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