Question Number 101615 by john santu last updated on 03/Jul/20 Commented by bramlex last updated on 03/Jul/20 $$\mathrm{i}\:\mathrm{got}\:−\infty\:\mathrm{sir}\: \\ $$ Commented by john santu last…
Question Number 101610 by bramlex last updated on 03/Jul/20 Answered by john santu last updated on 04/Jul/20 $$\mathrm{L}'\mathrm{Hopital} \\ $$$$\Leftrightarrow\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{3}} +\mathrm{5}}}{\mathrm{sin}\:\mathrm{2}{x}}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}}{\mathrm{sin}\:\mathrm{2}{x}}\:×\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\sqrt{{x}^{\mathrm{3}}…
Question Number 167105 by mnjuly1970 last updated on 06/Mar/22 $$ \\ $$$$\:\:\:\:\mathrm{I}{f}\:\:\:\:{g}\left({x}\right)=\:\begin{cases}{\:{x}^{\:\mathrm{2}} \:\:\:\:\:{x}\geqslant\mathrm{1}}\\{\:{x}^{\:\mathrm{3}} \:\:\:\:\:\:\:{x}<\:\mathrm{1}}\end{cases}\: \\ $$$$\:\:\:\:\:\:{then}\:\:\:\:\:{lim}_{\:{h}\rightarrow\:\mathrm{0}^{\:+} } \frac{\:{g}\:\left(\mathrm{1}+\mathrm{3}{h}\:\right)\:−\:{g}\:\left(\mathrm{1}−\mathrm{5}{h}\:\right)}{{h}}\:=? \\ $$ Answered by greogoury55 last updated…
Question Number 167100 by qaz last updated on 06/Mar/22 $$\mathrm{calculate}\:\:\:::\:\:\underset{\mathrm{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\frac{\int_{\mathrm{0}} ^{\mathrm{x}} \mathrm{cos}\:^{\mathrm{n}} \left(\frac{\mathrm{1}}{\mathrm{t}}\right)\mathrm{dt}}{\mathrm{x}}=? \\ $$ Commented by mindispower last updated on 09/Mar/22 $${i}\:{deleat}\:{my}\:{solution}\:{i}\:{see}\:{my}\:{error}…
Question Number 36018 by math1967 last updated on 27/May/18 $${Find}\:{the}\:{value}\:{of} \\ $$$$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {{lim}}\:\frac{{sinx}−\left({sinx}\right)^{{sinx}} }{\mathrm{1}−{sinx}+{lnsinx}} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 27/May/18 $${t}=\frac{\Pi}{\mathrm{2}}−{x}\: \\…
Question Number 167085 by mathlove last updated on 06/Mar/22 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{3}{x}}−\sqrt{{x}^{\mathrm{2}} +{x}}\right)^{{x}} =? \\ $$ Commented by cortano1 last updated on 06/Mar/22 $$\:\mathrm{L}=\mathrm{e}^{\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{\mathrm{x}^{\mathrm{2}}…
Question Number 167028 by cortano1 last updated on 04/Mar/22 $$\:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}+\mathrm{2x}}−\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{3x}}}{\mathrm{x}^{\mathrm{2}} }\:=? \\ $$ Answered by qaz last updated on 05/Mar/22 $$\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\sqrt{\mathrm{1}+\mathrm{2x}}−\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{3x}}}{\mathrm{x}^{\mathrm{2}} } \\…
Question Number 35939 by rahul 19 last updated on 26/May/18 $$\underset{{x}\rightarrow\mathrm{4}} {\mathrm{lim}}\:\left(\:\frac{{a}\mathrm{sin}\:\left({x}−\mathrm{4}\right)\:+\:\mathrm{cos}\:\pi{x}\:−\mathrm{1}}{{x}−\mathrm{4}}\:\right)^{\frac{{x}−\mathrm{2}}{{x}−\mathrm{3}}} =\:\mathrm{4} \\ $$$${Find}\:'{a}'\:? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 26/May/18 $${t}={x}−\mathrm{4}…
Question Number 101471 by I want to learn more last updated on 02/Jul/20 Commented by mr W last updated on 02/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}^{−} } {\mathrm{lim}}\frac{{x}}{{x}−\mid{x}\mid} \\…
Question Number 167004 by qaz last updated on 04/Mar/22 $$\mathrm{calculate}\:::\:\:\underset{\mathrm{x}\rightarrow\sqrt{\pi}} {\mathrm{lim}}\int_{\sqrt{\pi}} ^{\mathrm{x}} \frac{\left(\mathrm{x}^{\mathrm{2}} +\sqrt{\pi}\mathrm{t}\right)\mathrm{e}^{\mathrm{t}^{\mathrm{2}} } }{\left(\mathrm{x}−\sqrt{\pi}\right)\left(\mathrm{x}^{\mathrm{2}} +\pi\right)\mathrm{t}^{\mathrm{2}} \mathrm{lnt}}\mathrm{dt}=? \\ $$ Terms of Service Privacy Policy…