Question Number 100270 by Coronavirus last updated on 25/Jun/20 | ||
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Answered by abdomsup last updated on 26/Jun/20 | ||
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$${A}_{{n}} =\sum_{{k}={n}} ^{\mathrm{2}{n}} \:\frac{\pi}{{k}}\:=_{{p}={k}−{n}} \pi\:\sum_{{p}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{{p}+{n}} \\ $$$$=\frac{\pi}{{n}}\sum_{{p}=\mathrm{0}} ^{{n}} \:\frac{\mathrm{1}}{\mathrm{1}+\frac{{p}}{{n}}}\rightarrow\pi\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{dx}}{\mathrm{1}+{x}} \\ $$$$\pi{ln}\left(\mathrm{2}\right)\:\Rightarrow{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} =\pi{ln}\mathrm{2} \\ $$ | ||
Commented by Ar Brandon last updated on 26/Jun/20 | ||
cool Mr mathmax | ||
Answered by DGmichael last updated on 26/Jun/20 | ||
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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 | ||
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$${ist}\:{the}\:{very}\:{good} \\ $$ | ||
Commented by Ar Brandon last updated on 26/Jun/20 | ||
ouais Takou | ||
Commented by Rasheed.Sindhi last updated on 26/Jun/20 | ||
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$${French}? \\ $$ | ||
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 | ||
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$${No}\:{sir}\:{no}.\:{Just}\:{for}\:{knowledge}. \\ $$$${Many}\:{languages}\:{are}\:{written} \\ $$$${in}\:{roman}\:{script}.{I}\:{only}\:{guess}. \\ $$ | ||
Commented by Rasheed.Sindhi last updated on 26/Jun/20 | ||
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 | ||