Question Number 105643 by john santu last updated on 30/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\left({x}−\mathrm{sin}\:{x}\right)}{\mathrm{2}−\sqrt{\mathrm{4}+\mathrm{sin}\:^{\mathrm{3}} \:\mathrm{2}{x}}} \\ $$ Answered by bramlex last updated on 30/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\left({x}−\left({x}−\frac{\mathrm{1}}{\mathrm{6}}{x}^{\mathrm{3}} \right)\right)}{\mathrm{2}−\mathrm{2}\sqrt{\mathrm{1}+\frac{\mathrm{sin}\:^{\mathrm{3}}…
Question Number 40093 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:{lim}\:_{{x}\rightarrow\mathrm{0}} \:\:\frac{{ln}\left({cosx}\right)}{\mathrm{1}−{cos}\left(\mathrm{2}{x}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40094 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:{lim}\:_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\:\:\:{ln}\left({x}\right){tan}\left\{{ln}\left(\mathrm{1}+{x}\right)\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40089 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:{lim}\:_{{x}\rightarrow−\infty} \:\:\:\:\:\frac{{x}^{\mathrm{4}} \:+\mathrm{1}}{{cotan}\left(\frac{\mathrm{1}}{{x}}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40087 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:{sinx}\left\{{x}−\left[\frac{\mathrm{1}}{{x}}\right]\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40088 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:\:\:{lim}_{{x}\rightarrow+\infty} \:\:\:{x}^{\mathrm{2}} {sin}\left(\frac{\mathrm{1}}{{x}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40086 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:{x}\:\left[\frac{\mathrm{1}}{{x}}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40084 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{4}}} \:\:\:\:\frac{{sin}\left(\mathrm{2}{x}\right){sin}\left({x}−\frac{\pi}{\mathrm{4}}\right)}{{sinx}\:−{cosx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40085 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{3}}} \:\:\:\:\:\frac{{tan}\left({x}\right){tan}\left({x}−\frac{\pi}{\mathrm{3}}\right)}{\mathrm{1}−\mathrm{2}{cosx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 105614 by bemath last updated on 30/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{tan}\:\left(\mathrm{cos}\:\mathrm{2}{x}−\mathrm{1}\right)}{\mathrm{2}{x}^{\mathrm{2}} }\:? \\ $$ Commented by PRITHWISH SEN 2 last updated on 30/Jul/20 $$\mathrm{let}\:\mathrm{cos2x}−\mathrm{1}=\mathrm{t}\Rightarrow\mathrm{x}\rightarrow\mathrm{0}\:\mathrm{then}\:\mathrm{t}\rightarrow\mathrm{0} \\…