Category: Limits

Question Number 92785 by Ar Brandon last updated on 09/May/20 $$\mathrm{a})\mathrm{Find}\mathrm{E}\left({\mathrm{x}}^{\mathrm{x}}\right)\mathrm{then}\mathrm{E}\left({\mathrm{x}}^{{\mathrm{x}}^{\mathrm{x}}}\right)\mathrm{for}\mathrm{x}\in ]0,1[$$$$\mathrm{b})\mathrm{find}\underset{\mathrm{x}\to 0}{\lim }\mathrm{E}\left({\mathrm{x}}^{{\mathrm{x}}^{\mathrm{x}}}\right)$$ Commented by Ar Brandon…

Question Number 92741 by john santu last updated on 09/May/20 $$\underset{x\to 0}{\lim }(\frac{2}{\sin {}^2\left(\mathrm{x}\right)}+\frac{1}{\ln \left(\cos \left(\mathrm{x}\right)\right)})=$$ Commented by abdomathmax last updated on 09/May/20 $$yesyes\dots iwilldeletthepost\dots nevermind\dots$$…

Question Number 27189 by abdo imad last updated on 02/Jan/18 $$letgive{S}_n=\sum _{p=1}^{p=n}arctan\left(\frac{1}{2p^2}\right)find{lim}_{n->\propto }{S}_n.$$ Answered by prakash jain last updated…

Question Number 158204 by tounghoungko last updated on 01/Nov/21 $$\underset{x\to \mathrm{\infty }}{\lim }(\sin \sqrt{x+1}-\sin \sqrt{x})=?$$ Answered by ajfour last updated on 01/Nov/21 $$L=\underset{x\to \mathrm{\infty }}{\lim 2cos}\left(\frac{\sqrt{x}+\sqrt{x+1}}{2}\right)\sin \left(\frac{\sqrt{x+1}-\sqrt{x}}{2}\right)$$$$=\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}2cos}\:\left(\frac{\frac{\mathrm{1}}{\:\sqrt{{h}}}+\frac{\sqrt{{h}+\mathrm{1}}}{\:\sqrt{{h}}}}{\mathrm{2}}\right)\mathrm{sin}\:\left(\frac{\frac{\sqrt{{h}+\mathrm{1}}−\mathrm{1}}{\:\sqrt{{h}}}}{\mathrm{2}}\right)…

Question Number 158203 by tounghoungko last updated on 01/Nov/21 $$\underset{n\to \mathrm{\infty }}{\lim }\underset{k=1}{\sum ^n}\frac{1}{n}.e^{\frac{2k+1}{k}}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com