9000141906

Je daná funkcia $g$ (viď obrázok). Určte $\underset{x\to \mathrm{\infty }}{lim}g(x)$. $$g(x)=\{\begin{array}{ll}-\frac{1}{2}(x-1{)}^2+2& \text{pre }x<1,\\ \frac{2}{x^2}+1& \text{pre }x\ge 1\end{array}$$