Question

lim√1+z^2-1/3z^2 стремится к z=√3

Answer 1

$displaystyle lim_{z to sqrt{3} } frac{ sqrt{1+3z^2}-1 }{3z^2}= frac{sqrt{1+3cdot (sqrt{3})^2}-1}{3cdot (sqrt{3})^2} = frac{sqrt{10}-1}{9}$