Category: Limits

Question Number 152061 by mnjuly1970 last updated on 25/Aug/21 $$$$$$solve$$$$$$$$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{{sin}^3\left(x\right).{cos}^2\left(x\right)}{x^3}dx\stackrel{?}{=}\frac{7\pi }{32}\dots \mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.1.0/svg/25fc.svg">}$$ Answered…

Question Number 86416 by spdmp last updated on 28/Mar/20 $$\sqrt{8=}$$$$68]$$$$$$ Commented by john santu last updated on 28/Mar/20 $$??\%\%…

Question Number 86204 by jagoll last updated on 27/Mar/20 $$\underset{x\to 0}{\lim }\frac{{\mathrm{x}}^2\sin \left(\frac{1}{\mathrm{x}}\right)+\mathrm{x}}{\sqrt[\mathrm{x}]{1+\mathrm{e}}-\mathrm{e}}?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 86031 by arcana last updated on 26/Mar/20 $$\underset{x\to 0}{\lim }\frac{\sqrt{2}-\sqrt{1+\cos x}}{\sin {}^{2}x}=$$ Commented by arcana last updated on 26/Mar/20 $$theansweris\frac{1}{4\sqrt{2}}$$ Commented…

Question Number 151538 by DELETED last updated on 21/Aug/21 Answered by DELETED last updated on 21/Aug/21 $$3).\underset{\mathrm{t}\to \mathrm{\infty }}{\lim }[\left(\sin \frac{2}{\mathrm{t}}\right)-\frac{3}{\mathrm{t}}].\frac{\mathrm{t}}{6}=..?$$$$=\underset{\mathrm{t}\to 0}{\lim }[\left(\sin 2\mathrm{t}\right)-3\mathrm{t}].\frac{1}{6\mathrm{t}}$$$$\:\:\:\:\:\:=\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left[\left(\frac{\mathrm{sin}\:\mathrm{2t}}{\mathrm{6t}}\right)−\frac{\mathrm{1}}{\mathrm{2}}\right] \…