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f:R\{0}->R, f(x)= (x^2+2x)/x^3
Sa se arate ca f(x)=1/x+2/x^2


Răspuns :

        
[tex] \frac{ x^{2}+2x }{ x^{3}}= \frac{ x^{2} }{x^{3}} + \frac{2x}{x^{3}}= \frac{1 }{x} + \frac{2}{x^{2}} \\\\ cctd[/tex]