Question Number 159522 by mathlove last updated on 18/Nov/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{sin}\left({sinx}\right)}{{x}}=? \\ $$ Commented by cortano last updated on 18/Nov/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{sin}\:{x}\right)}{\mathrm{sin}\:{x}}\:×\:\frac{\mathrm{sin}\:{x}}{{x}}\:=\:\mathrm{1} \\ $$ Terms…
Question Number 28437 by abdo imad last updated on 25/Jan/18 $${let}\:{give}\:{f}\left({x}\right)=\:{sin}\:\left(\frac{\pi}{{x}}\right)\:\:\:{find}\:{f}^{\left({n}\right)} . \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28430 by abdo imad last updated on 25/Jan/18 $${let}\:{give}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:\left(\mathrm{1}+\frac{{x}}{{n}}\right)^{{n}} {e}^{−\mathrm{2}{x}} {dx}\:\:\:{lim}_{{n}\rightarrow\propto} \:{A}_{{n}} ? \\ $$$$ \\ $$ Commented by abdo…
Question Number 28429 by abdo imad last updated on 25/Jan/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\int_{{x}+\mathrm{1}} ^{\mathrm{2}{x}+\mathrm{1}} \:\:\frac{{t}^{\mathrm{2}} }{{ln}\left(\mathrm{1}+{t}\right)}{dt}\:\:. \\ $$ Commented by abdo imad last updated on 27/Jan/18…
Question Number 28426 by abdo imad last updated on 25/Jan/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{\left(\mathrm{1}+{sinx}\right)^{\frac{\mathrm{1}}{{x}}} \:\:−{e}^{\mathrm{1}−\frac{{x}}{\mathrm{2}}} }{\left(\mathrm{1}+{tanx}\right)^{\frac{\mathrm{1}}{{x}}} −\:\:{e}^{\mathrm{1}−\frac{{x}}{\mathrm{2}}} }\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 93955 by i jagooll last updated on 16/May/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{3}} −\mathrm{sin}\:^{\mathrm{3}} {x}}{{x}^{\mathrm{5}} } \\ $$ Answered by john santu last updated on 16/May/20…
Question Number 28408 by Rasheed.Sindhi last updated on 25/Jan/18 $$\mathrm{Determine}\:\left(\mathrm{i}\right)\:\frac{\infty}{{a}}\:\:\left(\mathrm{ii}\right)\:\frac{−\infty}{{a}}\:\mathrm{in}\:\mathrm{case}\: \\ $$$$\left({a}\right)\:{a}\in\mathbb{R}^{−} \:\:\:\:\left({b}\right)\:\:{a}\in\mathbb{R}^{+} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 93892 by frc2crc last updated on 15/May/20 $${let} \\ $$$${a}_{{n}+\mathrm{1}} =\sqrt{\mathrm{2}+\sqrt{{a}_{{n}} }}\:\:\:\:\:\:{a}_{\mathrm{0}} =\sqrt{\mathrm{2}} \\ $$$${find}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:{a}_{{n}+\mathrm{1}} \\ $$ Commented by Tony Lin last…
Question Number 159405 by qaz last updated on 16/Nov/21 $$\underset{\mathrm{x}\rightarrow+\mathrm{0}} {\mathrm{lim}}\left(\frac{\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{2021}} {\sum}}\mathrm{k}^{\mathrm{x}} }{\mathrm{2021}}\right)^{\frac{\mathrm{1}}{\mathrm{x}}} =? \\ $$ Answered by mindispower last updated on 16/Nov/21 $$=\underset{{x}\rightarrow\mathrm{0}}…
Question Number 159395 by cortano last updated on 16/Nov/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\sqrt[{{n}}]{\mathrm{cos}\:\mathrm{2}{x}}}{{x}^{\mathrm{2}} }\:=\:\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\:{n}=? \\ $$ Answered by qaz last updated on 16/Nov/21 $$\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}−\sqrt[{\mathrm{n}}]{\mathrm{cos}\:\mathrm{2x}}}{\mathrm{x}^{\mathrm{2}}…