Exercitiul 5) E(x)=?
Am nevoie de ajutor, e urgent!
Va multumesc ❤️
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Răspuns:
Explicație pas cu pas:
x/(x^2 + x) = 1/(x + 1)
________
x/(x - 1) - x/(x + 1) = [x(x + 1) - x(x - 1)]/(x - 1)(x + 1)
= (x^2 + x - x^2 + x)/(x - 1)(x + 1) = 2x/(x - 1)(x + 1)
________
2x/(x - 1)(x + 1) : 2x/(x - 1) = 2x/(x - 1)(x + 1) * (x - 1)/2x = 1/(x + 1)
_________
E(x) = 1/(x + 1) - 1/(x + 1) = 0
Răspuns:
Explicație pas cu pas:
E (x)=x/x(x+1)-(x²+x-x²+x)/(x-1)(x+1)×(x-1)/2x=1/(x+1)-(2x)/(x+1)×1/2x=
=1/(x+1)-1/(x+1)=0
x≠±1 x≠0