Category: Limits

Question Number 157591 by cortano last updated on 25/Oct/21 $$\underset{x\to \pi }{\lim }({(x-\pi )}^2\cos \left(\frac{1}{x-\pi }\right)+x^4+\sin {}^{3}x)=?$$ Answered by Lordose last updated on 25/Oct/21 $$\boldsymbol{\pi}^{\mathrm{4}} \…

Question Number 157560 by CAIMAN last updated on 24/Oct/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 26402 by abdo imad last updated on 25/Dec/17 $$findthenatureoftheserie\sum _{n=0}^{\propto }\frac{n!}{1+2^n}.$$ Commented by prakash jain last updated on 25/Dec/17 $${n}!=\mathrm{2}^{{n}−\mathrm{1}}…

Question Number 91897 by john santu last updated on 03/May/20 $$\underset{x\to 0}{\lim }\frac{\sin (2x-\sin x)}{1-\sqrt{1-x^2}}=?$$ Commented by john santu last updated on 03/May/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}{x}−\mathrm{sin}\:{x}}{\mathrm{1}−\left(\mathrm{1}−\frac{{x}^{\mathrm{2}}…

Question Number 26294 by d.monhbayr@gmail.com last updated on 23/Dec/17 $$\underset{x\to 0}{\lim }\frac{\sqrt{1+x\sin x}-\sqrt{\cos 2x}}{{tg}^2\frac{x}{2}}$$ Commented by abdo imad last updated on 24/Dec/17 $$forx\in v\left(0\right)\sqrt{1+u}\sim 1+\frac{u}{2}$$$${tanu}\sim{u}…