Question Number 168911 by bagjagugum123 last updated on 21/Apr/22 Commented by infinityaction last updated on 21/Apr/22 $$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:\frac{\left({x}^{\mathrm{2}} −{a}^{\mathrm{2}} \right)\mathrm{sin}\:\left({x}−{a}\right)\left(\sqrt{{x}+{b}}+\sqrt{{a}+{b}}\right)^{\mathrm{2}} }{\:\left(\sqrt{{x}+{b}}−\sqrt{{a}+{b}}\right)^{\mathrm{2}} \left(\sqrt{{x}+{b}}+\sqrt{{a}+{b}}\right)^{\mathrm{2}} } \\ $$$$\underset{{x}\rightarrow{a}}…
Question Number 103366 by Study last updated on 14/Jul/20 Answered by mathmax by abdo last updated on 14/Jul/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{4}}} −\mathrm{5}^{\frac{\mathrm{1}}{\left\{\right.}} }{\left(\mathrm{lnx}\right)^{\frac{\mathrm{1}}{\mathrm{8}}} −\left(\mathrm{ln5}\right)^{\frac{\mathrm{1}}{\mathrm{8}}} }\:\:\mathrm{let}\:\mathrm{find}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{5}} \mathrm{f}\left(\mathrm{x}\right)\:\mathrm{we}\:\mathrm{do}\:\mathrm{the}\:\mathrm{changement} \\…
Question Number 37816 by prof Abdo imad last updated on 17/Jun/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\frac{{ln}\left({x}+{e}^{{sinx}} \right)\:−{x}^{\mathrm{2}} }{{sh}\left(\mathrm{2}{x}\right)} \\ $$ Commented by math khazana by abdo last updated…
Question Number 103313 by gui last updated on 14/Jul/20 $${li}\underset{{n}\rightarrow+\infty} {{m}}\left(\mathrm{ln}\:\left({n}!\right)\right)^{\frac{\mathrm{2}}{{n}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 168819 by AbdoulayeLelouche last updated on 18/Apr/22 $$\mathrm{D}\acute {\mathrm{e}montrer}\:\mathrm{que}: \\ $$$$\mathrm{Demonstrate}\:\mathrm{that}: \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{{e}^{{x}} −\mathrm{1}−\mathrm{ln}\:\left({x}+\mathrm{1}\right)}{\mathrm{cos}\:\left({x}\right)−\mathrm{1}}\right)\:=\:−\mathrm{2} \\ $$ Answered by alephzero last updated on…
Question Number 103255 by Study last updated on 13/Jul/20 $${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{{sin}^{\mathrm{6}} \sqrt{\mathrm{2}}{x}}{{tan}^{\mathrm{7}} \frac{{x}}{\mathrm{2}}}\right)^{{cos}^{\mathrm{12}} {x}} =??? \\ $$ Commented by Dwaipayan Shikari last updated on 13/Jul/20…
Question Number 168776 by safojontoshtemirov last updated on 17/Apr/22 Commented by Oktamboy last updated on 17/Apr/22 $${Stirling} \\ $$ Commented by infinityaction last updated on…
Question Number 168696 by qaz last updated on 16/Apr/22 $$\mathrm{Calculate}\:\:\:::\:\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\int_{\mathrm{2x}−\mathrm{1}} ^{\mathrm{2x}+\mathrm{1}} \mathrm{e}^{\mathrm{t}^{\mathrm{2}} } \mathrm{dt}−\int_{−\mathrm{1}} ^{\mathrm{1}} \mathrm{e}^{\mathrm{t}^{\mathrm{2}} } \mathrm{dt}}{\mathrm{x}^{\mathrm{2}} }=\mathrm{8e}\:\:\:,\mathrm{Don}'\mathrm{t}\:\mathrm{use}\:\mathrm{L}'\mathrm{Hospital}'\mathrm{s}\:\mathrm{rule}. \\ $$ Answered by aleks041103…
Question Number 103114 by Study last updated on 12/Jul/20 Commented by Study last updated on 12/Jul/20 $${right}\:{or}\:{wrong}? \\ $$ Commented by Ari last updated on…
Question Number 168576 by cortano1 last updated on 13/Apr/22 $$\:\:\:{If}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:^{{m}} \left({mx}\right)−\mathrm{cos}\:^{{n}} \left({nx}\right)}{\left({m}^{\mathrm{2}} +{n}^{\mathrm{2}} +{mn}\right){x}^{\mathrm{2}} \:}\:=\:\mathrm{1} \\ $$$$\:{find}\:\frac{{m}^{\mathrm{2}} +{n}^{\mathrm{2}} −\mathrm{4}}{{mn}}\:. \\ $$ Commented by blackmamba…