Category: Limits

Question Number 205134 by universe last updated on 09/Mar/24 Answered by pi314 last updated on 09/Mar/24 $$nx=y$$$$\Leftrightarrow{A}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{{n}} \frac{{f}\left(\frac{{y}}{{n}}\right)}{\left(\mathrm{1}+{y}^{\mathrm{2}} \right)}{dy}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{{n}}…

Question Number 204991 by tigrecomplexe last updated on 04/Mar/24 Commented by tigrecomplexe last updated on 05/Mar/24 $$sommeonecanputhandhereplease?$$ Answered by witcher3 last updated on…

Question Number 204905 by Manishkumar last updated on 02/Mar/24 $$4.\frac{\sin {30}^{°}+\tan {45}^{°}-\mathrm{cosec}{60}^{°}}{\sec {30}^{°}+\cos {60}^{°}+\cot {45}^{°}}$$$$$$$$=\frac{1/2+1-2/\sqrt{3}}{2/\sqrt{3}+1/2+1\mathrm{v}}$$$$=\frac{\frac{\sqrt{3}+2\sqrt{3}-4}{2\sqrt{3}}}{\frac{4+\sqrt{3}+2\sqrt{3}}{2\sqrt{3}}}$$$$ \…

Question Number 204879 by universe last updated on 09/Aug/24 $$\underset{n\to \mathrm{\infty }}{\lim }\mathrm{n}!(e-{\mathrm{x}}_{\mathrm{n}})=?$$$$\mathrm{where}{\mathrm{x}}_{\mathrm{n}}=1+\frac{1}{1!}+\frac{1}{2!}+\dots +\frac{1}{\mathrm{n}!}$$ Commented by mr W last updated on 01/Mar/24…

Question Number 204558 by universe last updated on 22/Feb/24 $$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }{\mathrm{n}}^{-3/2}{[{(\mathrm{n}+1)}^{(\mathrm{n}+1)}{(\mathrm{n}+2)}^{(\mathrm{n}+2)}\dots {\left(2\mathrm{n}\right)}^{2\mathrm{n}}]}^{1/{\mathrm{n}}^2}=?$$ Terms of Service Privacy Policy Contact:…