Question Number 40112 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\:\:\left\{\:{tan}\left(\frac{\pi}{\mathrm{2}+{x}}\right)\right\}^{{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40110 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:{lim}_{{x}\rightarrow+\infty} {x}\left\{\left(\mathrm{1}+{a}\right)^{\frac{\mathrm{1}}{{x}}} \:−{a}^{\frac{\mathrm{1}}{{x}}} \right\}\:\:\:\:\:\left({a}>\mathrm{0}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40111 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:{lim}\:_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{{a}^{{x}} \:−{b}^{{x}} }{{e}^{{ax}} \:−{e}^{{bx}} }\:\:\:{with}\:{a}>\mathrm{0}\:\:\:\:{b}>\mathrm{0}\:\:{and}\:{a}\neq{b} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 40108 by maxmathsup by imad last updated on 15/Jul/18 $${calculate}\:\:{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{2}}} \:\:\:\:\:\left({sinx}\right)^{{ln}\mid{x}−\frac{\pi}{\mathrm{2}}\mid} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 40109 by maxmathsup by imad last updated on 15/Jul/18 $${find}\:\:{lim}_{{x}\rightarrow+\infty} {x}\left\{\left(\mathrm{1}+{a}\right)^{\frac{\mathrm{1}}{{x}}} \:−{a}^{\frac{\mathrm{1}}{{x}}} \right\}\:\:\:\:\:\left({a}>\mathrm{0}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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