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Author: Tinku Tara

find-dx-x-x-1-x-2-

Question Number 143260 by Mathspace last updated on 12/Jun/21 $${find}\:\int\:\frac{{dx}}{\:\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}+\sqrt{{x}+\mathrm{2}}} \\ $$ Commented by MJS_new last updated on 12/Jun/21 $$\mathrm{there}\:\mathrm{exists}\:\mathrm{a}\:\mathrm{solution}\:\mathrm{on}\:\mathrm{this}\:\mathrm{forum},\:\mathrm{I}\:\mathrm{cannot} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{question}\:\mathrm{number}… \\ $$ Terms…

Show-that-0-9999999999999-is-equal-to-1-

Question Number 12190 by tawa last updated on 16/Apr/17 $$\mathrm{Show}\:\mathrm{that},\:\:\mathrm{0}.\mathrm{9999999999999}\:……\:\infty\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{1} \\ $$ Answered by ridwan balatif last updated on 16/Apr/17 $$\mathrm{let}\:\mathrm{0}.\mathrm{9999999}….=\mathrm{p} \\ $$$$\mathrm{0}.\mathrm{999999}…=\mathrm{p} \\ $$$$−−−−−−−−×\mathrm{10}…

Find-the-fraction-to-the-below-deimal-4-4444444444444-

Question Number 12189 by tawa last updated on 16/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{fraction}\:\mathrm{to}\:\mathrm{the}\:\mathrm{below}\:\mathrm{deimal} \\ $$$$\mathrm{4}.\mathrm{4444444444444}…….\:\infty \\ $$ Answered by ridwan balatif last updated on 16/Apr/17 $$\mathrm{let}:\:\mathrm{4}.\mathrm{444444}…=\mathrm{a} \\ $$$$\mathrm{4}.\mathrm{4444}…=\mathrm{a}…

developp-at-fourier-serie-f-x-1-cosx-2sinx-

Question Number 143262 by Mathspace last updated on 12/Jun/21 $${developp}\:{at}\:{fourier}\:{serie} \\ $$$${f}\left({x}\right)=\frac{\mathrm{1}}{{cosx}\:+\mathrm{2}{sinx}} \\ $$ Answered by mathmax by abdo last updated on 13/Jun/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{cosx}+\mathrm{2sinx}}\:\Rightarrow\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\frac{\mathrm{e}^{\mathrm{ix}} +\mathrm{e}^{−\mathrm{ix}}…