Category: Relation and Functions

Question Number 136029 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}{\lim }_{\mathrm{x}\to 0}\frac{\ln \left(\frac{\mathrm{x}}{\mathrm{sinx}}\right)}{{\mathrm{x}}^2}$$ Answered by liberty last updated on 18/Mar/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{ln}\:{x}−\mathrm{ln}\:\mathrm{sin}\:{x}}{{x}^{\mathrm{2}}…

Question Number 136028 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{e}}^{-\mathrm{x}}\arctan (\mathrm{x}-\frac{1}{\mathrm{x}})$$$$\mathrm{calculate}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(1\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 136030 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{solve}{\mathrm{y}}^{\left(3\right)}-{2\mathrm{y}}^{\left(2\right)}+\mathrm{y}=\mathrm{x}-\mathrm{sinx}$$ Answered by Ñï= last updated on 18/Mar/21 $${y}'''−\mathrm{2}{y}''+{y}={x}−\mathrm{sin}\:{x} \…

Question Number 136021 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{decompose}\mathrm{F}\left(\mathrm{x}\right)=\frac{1}{{(\mathrm{x}-\mathrm{a})}^{\mathrm{n}}{(\mathrm{x}-\mathrm{b})}^{\mathrm{m}}}\mathrm{with}\mathrm{a}\ne \mathrm{b}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 4904 by love math last updated on 20/Mar/16 $$Determinethesmallestnatural$$$$valueofn,sothefunction$$$$y=5xsin5nxwillbeeven.$$ Commented by Yozzii last updated on 20/Mar/16 $${y}\left(−{x}\right)=\mathrm{5}\left(−{x}\right){sin}\left(−\mathrm{5}{nx}\right)…