Question

se considera functia f: ( 0,+ infinit) implica R, f(x)= x+1/e la x . determinati ecuatia asimptotei oblice la Gf g:(0, +infinit) implica R . g(x) = e la 2x inmultit cu f la a doua de (x) totul supra x

Answer 1

2x la a doua -1 / x la a doua +2. determinat ec asimptotei orizontale spre + infinit la Gf f (e cerinta )

1)asimptote orizontale

[tex] \lim_{x \to \infty} \frac{2 x^{2}-1 }{x^{2}+2 } = \frac{\infty}{\infty} =nedeterminare Aplicam LH(L`hopital) \lim_{x \to \infty} \frac{(2x^{2} -1)'}{( x^{2}+2)'} = \frac{4x}{2x}= 2 y=2 ,asimptota orizontala la + infinit [/tex]

POZA