Question Number 110642 by mathdave last updated on 29/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 110647 by Khalmohmmad last updated on 29/Aug/20 $$\left.\:\mathrm{1}\right)\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}sin}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=? \\ $$$$\left.\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}cos}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)=? \\ $$$$ \\ $$ Answered by mathmax by abdo last updated…
Question Number 176174 by Matica last updated on 14/Sep/22 $$ \\ $$$$\:\mathrm{a},{b},{c}\:\in\mathbb{R}_{+\:} ^{\ast} \:\:\mathrm{and}\:{abc}=\mathrm{1}.\:\mathrm{Prove} \\ $$$$\:\:\:\frac{{c}\:\sqrt{{a}^{\mathrm{3}} +{b}^{\mathrm{3}} }}{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }\:+\:\frac{{b}\:\sqrt{{a}^{\mathrm{3}} +{c}^{\mathrm{3}} }}{{a}^{\mathrm{2}} +{c}^{\mathrm{2}} }\:+\:\frac{{a}\sqrt{{b}^{\mathrm{3}} +{c}^{\mathrm{3}}…
Question Number 110619 by mathdave last updated on 29/Aug/20 $${someone}\:{posted}\:{this}\:{problem}\:{and}\:{my} \\ $$$${solution}\:{followed} \\ $$$${solve} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}{dx} \\ $$$${solution} \\ $$$${y}=\mathrm{ln}\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)\:\:\:{and}\:\:{dy}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 110616 by mohammad17 last updated on 29/Aug/20 $${lim}_{{n}\rightarrow\infty} \frac{{e}^{\frac{\mathrm{1}}{{n}}} +{e}^{\frac{\mathrm{2}}{{n}}} +……+{e}^{\frac{{n}}{{n}}} }{{n}}\: \\ $$$${ho}\:{is}\:{can}\:{you}\:{help}\:{me}\:{step}\:{by}\:{step} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 110614 by mathdave last updated on 29/Aug/20 Answered by Dwaipayan Shikari last updated on 29/Aug/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\left({cosx}\right)^{\pi} }{\left({cosx}\right)^{\pi} +\left({sinx}\right)^{\pi} }{dx}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\left({sinx}\right)^{\pi}…
Question Number 45067 by peter frank last updated on 08/Oct/18 Commented by peter frank last updated on 08/Oct/18 $$\mathrm{QN}\:\mathrm{10}\:\mathrm{a} \\ $$ Commented by Tawa1 last…
Question Number 176134 by pervezjnv last updated on 13/Sep/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 176102 by MathsFan last updated on 12/Sep/22 $$\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{that}}\: \\ $$$$\:\:\:\:\:\mathrm{4}\boldsymbol{\mathrm{n}}<\mathrm{2}^{\boldsymbol{\mathrm{n}}} \:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{all}}\:\boldsymbol{\mathrm{n}}\geqslant\mathrm{5} \\ $$ Answered by a.lgnaoui last updated on 12/Sep/22 $${n}=\mathrm{5}\:\:\:\mathrm{2}^{\mathrm{5}} =\mathrm{32}\:\:\:\:\:\:\:\:\:\mathrm{4}×\mathrm{5}=\mathrm{20}<\mathrm{32} \\…
Question Number 110539 by Her_Majesty last updated on 29/Aug/20 $${it}\:{seems}\:{too}\:{hard}\:{for}\:{many}\:{here}\:{to}\:{post} \\ $$$${their}\:{questions}\:{as}\:{questions},\:{answers}\:{as} \\ $$$${answers}\:{and}\:{comments}\:{as}\:{comments}… \\ $$$${hereby}\:{I}\:{introduce}\:{the}\:{next}\:{step}:\:{I}'{ll}\:{post} \\ $$$${answers}\:{and}\:{the}\:{task}\:{is},\:{find}\:{questions} \\ $$$${to}\:{these}\:{answers} \\ $$$$\left(\mathrm{1}\right)\:\zeta\left(\mathrm{3}\right)+\pi{ln}\mathrm{2} \\ $$$$\left(\mathrm{2}\right)\:\pi{H}_{\mathrm{0}} \left(\mathrm{7}\right)…