x+1+ [tex] \frac{2}{x-1} [/tex])* [tex] \frac{x^2-2x+1}{x^3-x^2+x-1} [/tex]=[tex] \frac{(x+1)(x-1)+2}{x-1} [/tex] *[tex] \frac{(x-1)^2}{x^2(x-1)+(x-1)} [/tex]
E(x)=[tex] \frac{x^2+1}{x-1} [/tex]*[tex] \frac{(x-1)^2}{(x^2+1)(x-1)} [/tex]
E(x)=[tex] \frac{x^2+1}{x-1} [/tex] * [tex] \frac{x-1}{x^2+1} [/tex]
E(x)=1 (dupa simplificare)
