Question

lim x стремится к 2 (x^2+(x-2))/((sqrt(x+6))-2)

Answer 1

$lim_{xto2}frac{x^2+(x-2)}{sqrt{x+6}-2}=frac{4}{2sqrt2-2}=frac{2}{sqrt2-1}*frac{sqrt2+1}{sqrt2+1}=2(sqrt2+1)$