Question

Calcule o limite:
$\lim_{x \to +\infty} [x-\sqrt{x^{2} +3} ]$

Answer 1

Resposta:

Lim   (x-√(x²+3))

x-->∞

Lim   (x-√(x²+3))*  (x+√(x²+3))/  (x+√(x²+3))

x-->∞

Lim   (x²-(x²+3))/  (x+√(x²+3))

x-->∞

Lim   (-3)/  (x+√(x²+3))   =-3/(∞+√(∞²+3)) =-3/∞  = 0

x-->∞