Category: Relation and Functions

Question Number 79103 by mathmax by abdo last updated on 22/Jan/20 $$calculate{lim}_{x\to 1}\frac{{nx}^{n+1}-(n+1)x^n+1}{{(x-1)}^2}withouthospitalrule.$$ Commented by mathmax by abdo last updated…

Question Number 79101 by mathmax by abdo last updated on 22/Jan/20 $$calculate{lim}_{x\to 0}\frac{sin\left(e^{-x^2}\right)+sinx-sin\left(1\right)}{x^3}$$ Commented by jagoll last updated on 23/Jan/20…

Question Number 144500 by mathmax by abdo last updated on 25/Jun/21 $$\mathrm{calculate}\sum _{\mathrm{n}=0}^{\mathrm{\infty }}\frac{1}{{\mathrm{n}}^2+4}$$ Answered by Dwaipayan Shikari last updated on 26/Jun/21…

Question Number 144464 by mathmax by abdo last updated on 25/Jun/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{2}{{(1+\mathrm{sinx})}^2}$$$$\mathrm{developp}\mathrm{f}\mathrm{at}\mathrm{fourier}\mathrm{serie}$$ Answered by mathmax by abdo last updated on…

Question Number 13281 by Tinkutara last updated on 17/May/17 $$\mathrm{Let}f\left(x\right)=\{\begin{array}{l}1+x,0⩽x⩽2\\ 3-x,2<x⩽3\end{array}.\mathrm{Find}fof.$$ Answered by ajfour last updated on 17/May/17 Commented by ajfour last updated on…