Category: Relation and Functions

Question Number 123675 by mathmax by abdo last updated on 27/Nov/20 $$\mathrm{calculste}{\lim }_{\mathrm{x}\to 0}\frac{\arctan ({\mathrm{x}}^2+\mathrm{x}+1)-\arctan (\mathrm{x}+1)}{{\mathrm{x}}^3}$$ Answered by benjo_mathlover last updated on 27/Nov/20 $$\underset{{x}\rightarrow\mathrm{0}}…

Question Number 58103 by smiak8742 last updated on 17/Apr/19 $$f\left(x\right)=-x^6+3x^4+4x^{2}findthezeros$$ Answered by MJS last updated on 17/Apr/19 $${x}^{\mathrm{6}} −\mathrm{3}{x}^{\mathrm{4}} −\mathrm{4}{x}^{\mathrm{2}}…

Question Number 58079 by smiak8742 last updated on 17/Apr/19 $$f\left(x\right)=2^3+x^2-5x+2;x+2$$ Answered by $@ty@m last updated on 17/Apr/19 Terms of Service Privacy…

Question Number 189053 by mathlove last updated on 11/Mar/23 $$findf\left(x\right)$$$$1:f\left(\frac{x+1}{x-1}\right)=x+3;x\ne 1$$$$2:f\left(\frac{2x+1}{x-1}\right)=x^2+2x;x\ne 1$$$$3:f(x+1)+f(x-y)=2f\left(x\right)cosy\mathrm{\forall }x,y$$$$f\left(0\right)=f\left(\frac{\pi }{2}\right)=1$$ Answered by cortano12 last…

Question Number 57923 by maxmathsup by imad last updated on 14/Apr/19 $$decomposethefractionF\left(x\right)=\frac{x^n}{x^{2n}-1}insideC\left(x\right)andR\left(x\right)$$ Commented by maxmathsup by imad last updated on 28/Apr/19…