This is LaTeX code:

[latex]
\lim_{h=(h_1,h_2,h_3) \rightarrow 0}\frac{h_1(h_2+y_0)h_3^2+h_1h_3^2}{\sqrt{h_1^2+h_2^2+h_3^2}\cdot (h_1^2+h_3^2)}
[/latex]