Category: Limits

Question Number 144471 by pyra last updated on 25/Jun/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 144413 by imjagoll last updated on 25/Jun/21 $$\underset{x\to 1}{\lim }[\frac{1}{4-4\sqrt{\mathrm{x}}}-\frac{1}{5-5\sqrt[5]{\mathrm{x}}}]=?$$ Answered by Olaf_Thorendsen last updated on 25/Jun/21 $$f\left(x\right)=\frac{1}{4-4\sqrt{x}}-\frac{1}{5-5\sqrt[5]{x}}$$$$\mathrm{Let}x=X^{10}$$$${f}\left({X}^{\mathrm{10}}…

Question Number 78865 by jagoll last updated on 21/Jan/20 $$$$$$\underset{x\to 0}{\lim }\frac{\sqrt[3]{1+\sqrt{1+{\mathrm{x}}^3}}-\sqrt[3]{2}}{{2\mathrm{x}}^3}$$ Commented by jagoll last updated on 21/Jan/20 $$\mathrm{dear}\:\mathrm{mr}\:\mathrm{Mjs}\:.\:\mathrm{what}\:\mathrm{value}\:\mathrm{the}\:\mathrm{limit}?…

Question Number 13276 by tawa tawa last updated on 17/May/17 Commented by tawa tawa last updated on 17/May/17 $$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.\mathrm{That}\mathrm{is}\mathrm{what}\mathrm{i}\mathrm{want}\mathrm{to}\mathrm{confirm}.$$ Commented by mrW1 last…

Question Number 13252 by raktim Ghosh last updated on 17/May/17 $$\underset{x\to 0}{\lim sin}\mathrm{x}$$ Answered by Abbas-Nahi last updated on 17/May/17 $$=xli\underset{x\to 0}{m}\frac{\sin x}{x}$$$$=\mathrm{0}\:\left(\mathrm{1}\right)\:\:;{since}\left({li}\underset{×\rightarrow\mathrm{0}}…