Cálculo

$\def\sen{\text{sen}}$ \[\begin{array}{rcl} \lim\limits_{x \to \sqrt{2}} (\cos^2(x)x^2 + \sen^2(x)x^2) & = & \lim\limits_{x \to \sqrt{2}} x^2(\cos^2(x) + \sen^2(x))\\ & = & 2 \cdot 1\\ & = & 2\\ \end{array}\]