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Author: Tinku Tara

Question-196682

Question Number 196682 by sonukgindia last updated on 29/Aug/23 Answered by mr W last updated on 28/Sep/23 $$\mathrm{0}.\mathrm{006}×\mathrm{0}.\mathrm{98}+\mathrm{0}.\mathrm{994}×\mathrm{0}.\mathrm{8}=\mathrm{0}.\mathrm{81\%}\:\checkmark \\ $$ Terms of Service Privacy Policy…

lim-n-n-2-2ncos-k-1-2ne-i-k-d-

Question Number 196705 by josemate19 last updated on 29/Aug/23 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{−\infty} {\overset{\:\:\:\:\infty} {\int}}\frac{{n}!\mathrm{2}^{\mathrm{2}{ncos}\left(\phi\right)} }{\underset{{k}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\mathrm{2}{ne}^{{i}\phi} −{k}\right)}{d}\phi \\ $$ Terms of Service Privacy Policy Contact:…

prove-that-lim-n-1-n-1-p-2-n-1-p-pln-p-1-p-1-ln-pi-

Question Number 196674 by Erico last updated on 29/Aug/23 $$\mathrm{prove}\:\mathrm{that}\: \\ $$$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\:\left(−\mathrm{1}\right)^{\mathrm{n}−\mathrm{1}} +\underset{\mathrm{p}=\mathrm{2}} {\overset{\mathrm{n}} {\sum}}\left(−\mathrm{1}\right)^{\mathrm{p}} \mathrm{pln}\left(\frac{\mathrm{p}+\mathrm{1}}{\mathrm{p}−\mathrm{1}}\right)=\mathrm{ln}\left(\pi\right) \\ $$ Terms of Service Privacy Policy Contact:…

Question-196637

Question Number 196637 by sonukgindia last updated on 28/Aug/23 Answered by AST last updated on 28/Aug/23 $${a}=\sqrt{\mathrm{12}−\sqrt{{m}}};{b}=\sqrt{\mathrm{12}+\sqrt{{m}}},{a}^{\mathrm{2}} +{b}^{\mathrm{2}} =\mathrm{24} \\ $$$${ab}=\sqrt{\mathrm{144}−{m}};\left({a}+{b}\right)^{\mathrm{2}} =\mathrm{24}+\mathrm{2}\sqrt{\mathrm{144}−{m}} \\ $$$$\Rightarrow{a}+{b}=\sqrt{\mathrm{24}+\mathrm{2}\sqrt{\mathrm{144}−{m}}}={n} \\…