2.3a Lösning 6c
Från Mathonline
\[ \begin{array}{rcl} \lim_{x \to \infty}\,\, {x^2\,-\,2\,x\,+\,3 \over 2\,x^2\,+\,5\,x\,-\,3} & = & \lim_{x \to \infty}\,\, {x^2/x^2\,-\,2\,x/x^2\,+\,3/x^2 \over 2\,x^2/x^2\,+\,5\,x/x^2\,-\,3/x^2} \,=\, \lim_{x \to \infty}\,\, {1\,-\,2/x\,+\,3/x^2 \over 2\,+\,5/x\,-\,3/x^2} = \\ \\ & = & {1\,-\,0\,+\,0 \over 2\,+\,0\,-\,0} \,=\, {1 \over 2} \end{array}\]
