Category: Limits

Question Number 25221 by chernoaguero@gmail.com last updated on 06/Dec/17 $$\mathrm{Find}\mathrm{the}\underset{x\to \mathrm{\infty }}{\lim }\frac{{\mathrm{e}}^{\mathrm{x}}}{\sqrt{{\mathrm{e}}^{2\mathrm{x}}+1}}$$ Answered by jota+ last updated on 06/Dec/17 $$=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\left(\mathrm{1}/{e}^{{x}} \right){e}^{{x}}…

Question Number 156250 by cortano last updated on 09/Oct/21 $$\underset{x\to 0}{\lim }\frac{1-\cos \mathrm{x}\sqrt{\cos 2\mathrm{x}}\sqrt[3]{\cos 3\mathrm{x}}\sqrt[4]{\cos 4\mathrm{x}}}{{\mathrm{x}}^2}=?$$ Commented by john_santu last updated on 09/Oct/21 $$limit=\frac{4\times 5}{4}=5$$ Terms…

Question Number 156108 by cortano last updated on 08/Oct/21 $$\underset{x\to \frac{\pi }{8}}{\lim }\frac{1+\cot 6\mathrm{x}}{1-\sin 4\mathrm{x}}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 90432 by jagoll last updated on 23/Apr/20 $$\underset{x\to -\mathrm{\infty }}{\lim }\mathrm{x}[\sqrt{{\mathrm{x}}^2+1}-\mathrm{x}]=?$$ Commented by mathmax by abdo last updated on 23/Apr/20 $${we}\:{have}\:{lim}_{{x}\rightarrow−\infty} \:{x}\:=−\infty\:\:{and}…

Question Number 24864 by A1B1C1D1 last updated on 27/Nov/17 $$\mathrm{Solve}\mathrm{the}\mathrm{following}\mathrm{trigonometric}\mathrm{limit}:$$$$$$$$\underset{\mathrm{x}\to \frac{\pi }{4}}{\lim }\left(5\mathrm{tg}\left(\mathrm{x}\right)\right)=$$ Answered by jota+ last updated on 28/Nov/17 $$\:\underset{{x}\rightarrow\mathrm{0}}…