Question

E(x = (1 \ x) + (x-2 \ xpatrat- 4x¸+4) + (x+2 \ x+3) : (xpătrat - 4 \ x pătrat - 9) unde x apartine lui R \ {-3 ; -2 ; 0 ; 2 ;3 } aratati ca E(x) = x +¸1 \ x .

Answer 1

daca ai scris corect rezolvarea e :
e(x)=(1/x) +[(x-2)/(x-2)^2]+[(x+2)/(x+3)ori(x-3)(x+3)/(x-2)(x+2)]=
=(1/x)+ [1/(x-2)]+[(x-3)/(x-2)]= (1/x)+[(1+x-3)/(x-2)=
=(1/x) +(x-2)/(x-2)=1/x+1