Category: Relation and Functions

Question Number 42781 by maxmathsup by imad last updated on 02/Sep/18 $$calculate{lim}_{x\to \frac{\pi }{4}}\frac{sin\left(2x\right)sin(x-\frac{\pi }{4})}{sinx-cosx}$$ Commented by maxmathsup by imad last updated on 04/Oct/18 $${let}\:{A}\left({x}\right)=\frac{{sin}\left(\mathrm{2}{x}\right){sin}\left({x}−\frac{\pi}{\mathrm{4}}\right)}{{sinx}−{cosx}}\:\:{we}\:{have}\:{A}\left({x}\right)=\frac{{sin}\left(\mathrm{2}{x}\right){sin}\left({x}−\frac{\pi}{\mathrm{4}}\right)}{\:\sqrt{\mathrm{2}}{sin}\left({x}−\frac{\pi}{\mathrm{4}}\right)}…

Question Number 42780 by maxmathsup by imad last updated on 02/Sep/18 $$find{lim}_{x\to 0^{+}}\frac{\left[{(x+1)}^2\right]-\left[{(2x+1)}^2\right]}{x}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 42688 by prof Abdo imad last updated on 31/Aug/18 $$letg\left(x\right)=\frac{x-1}{x^2+x+1}$$$$1)find{g}^{\left(n\right)}\left(x\right)$$$$2)calculate{g}^{\left(n\right)}\left(0\right)$$$$3)developpgatintegrserie.$$ Commented by…

Question Number 173678 by mathlove last updated on 16/Jul/22 $$iff\left(x\right)is{2}^{nd}digrefunction$$$$f(x-1)+f\left(x\right)+f(x+1)=x^2+1$$$$thenfaindf\left(2\right)=?$$ Answered by Rasheed.Sindhi last updated on 16/Jul/22…

Question Number 42493 by maxmathsup by imad last updated on 26/Aug/18 $$calculate{lim}_{n\to +\mathrm{\infty }}\sum _{1⩽i<j⩽n}\frac{1}{i^x{j}^x}withx>1forthatconsider$$$$\xi \left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^x}$$$$\left.\mathrm{2}\right)\:{calculate}\:{lim}_{{n}\rightarrow+\infty} \:\sum_{\mathrm{1}\leqslant{i}<{j}\leqslant{n}} \:\:\:\:\:\:\frac{\mathrm{1}}{\left({ij}\right)^{\mathrm{2}}…