Category: Relation and Functions

Question Number 5232 by sanusihammed last updated on 02/May/16 $$Iff\left(x\right)=\frac{x^2-4}{x-2}$$$$x\to 2$$$$$$$$\alpha =3.\mathrm{\Sigma }=0.1find\delta$$$$$$$$Alpha=3Epsalum=0.1Finddelta$$ Commented by…

Question Number 136259 by liberty last updated on 20/Mar/21 $$Given2f\left(x\right)+f\left(\frac{1}{x}\right)=6x+\frac{3}{x}$$$$then{\int }_1^{2}f\left(x\right)dx=?$$ Answered by EDWIN88 last updated on 20/Mar/21 $$\mathrm{Replacing}\:\mathrm{x}\:\mathrm{by}\:\frac{\mathrm{1}}{\mathrm{x}}\:\mathrm{gives} \…

Question Number 70595 by mathmax by abdo last updated on 06/Oct/19 $$calculate\sum _{n=1}^{\mathrm{\infty }}\frac{{(-1)}^n}{n^2{(n+1)}^3}$$ Commented by mathmax by abdo last…

Question Number 136033 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{explicite}\mathrm{f}\left(\mathrm{t}\right)={\int }_0^{\mathrm{\infty }}\frac{{\mathrm{e}}^{-\mathrm{t}(1+{\mathrm{x}}^2)}}{1+{\mathrm{x}}^2}\mathrm{dx}\mathrm{with}\mathrm{t}⩾0$$ Terms of Service Privacy Policy Contact:…

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}}…