Category: Limits

Question Number 40120 by maxmathsup by imad last updated on 15/Jul/18 $$findthevalueof{lim}_{x\to 0}\frac{{(1+sinx)}^{\frac{1}{x}}-e^{1-\frac{x}{2}}}{{(1+tanx)}^{\frac{1}{x}}-e^{1-\frac{x}{2}}}$$ Terms of Service Privacy Policy Contact:…

Question Number 40117 by maxmathsup by imad last updated on 15/Jul/18 $$calculate{lim}_{x\to 0}\frac{1}{{sin}^{4}x}\{sin\left(\frac{x}{1-x}\right)-\frac{sinx}{1-sinx}\}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 40110 by maxmathsup by imad last updated on 15/Jul/18 $$find{lim}_{x\to +\mathrm{\infty }}x\{{(1+a)}^{\frac{1}{x}}-a^{\frac{1}{x}}\}(a>0)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 40108 by maxmathsup by imad last updated on 15/Jul/18 $$calculate{lim}_{x\to \frac{\pi }{2}}{\left(sinx\right)}^{ln\mid x-\frac{\pi }{2}\mid }$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 105643 by john santu last updated on 30/Jul/20 $$\underset{x\to 0}{\lim }\frac{\tan (x-\sin x)}{2-\sqrt{4+\sin {}^{3}2x}}$$ 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}}…