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 Aratati ca E(x) = [tex] \frac{ x^{2} - x - 2 }{x - 2} - (x - 2)[/tex] reprezinta un numar natural oricare ar fi x ∈ R \ {2}.

Răspuns :

E(x)=(x-2)(x+1)/(x-2)    -(x-2)=x+1-x+2=3∈N