Category: Limits

Question Number 95832 by  M±th+et+s last updated on 28/May/20 $$findwithoutusing{l}^{\prime }hopital$$$$\underset{x\to 2}{lim}\frac{e^{2-x}-1}{x^2-4}$$ Answered by mathmax by abdo last updated on…

Question Number 30282 by Tinkutara last updated on 19/Feb/18 $$Find{\underset{n\to \mathrm{\infty }}{\lim cos}}^n\left(\frac{2\pi }{n}\right)$$ Commented by prof Abdo imad last updated on 20/Feb/18 $${we}\:{have}\:\:{cosx}\:\sim\mathrm{1}−\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\:{for}\:{x}\in{v}\left(\mathrm{0}\right)\Rightarrow…

Question Number 161319 by cortano last updated on 16/Dec/21 $$\underset{x\to \frac{\pi }{2}}{\lim }\frac{\cos x}{\sqrt[3]{\sin x+\cos x}-\sin x}=?$$ Answered by som(math1967) last updated on 16/Dec/21 $$\underset{\boldsymbol{{x}}\rightarrow\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\boldsymbol{{lim}}}\:\frac{\boldsymbol{{cosx}}\left\{\left(\boldsymbol{{sinx}}+\boldsymbol{{cosx}}\right)^{\frac{\mathrm{2}}{\mathrm{3}}} +\left(\boldsymbol{{sinx}}+\boldsymbol{{cosx}}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} \boldsymbol{{sinx}}+\boldsymbol{{sin}}^{\mathrm{2}} \boldsymbol{{x}}\right\}}{\boldsymbol{{sinx}}+\boldsymbol{{cosx}}−\boldsymbol{{sin}}^{\mathrm{3}}…

Question Number 30189 by abdo imad last updated on 17/Feb/18 $$find{lim}_{n\to \mathrm{\infty }}{n}^{-4}\prod _{k=1}^{2n}{(n^2+k^2)}^{\frac{1}{n}}?.$$ Terms of Service Privacy Policy…

Question Number 30176 by abdo imad last updated on 17/Feb/18 $$provethat{v}_n=\sum _{k=1}^n\frac{1}{2n+2k+1}isconvergente.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com