2.3a Lösning 6d

\[ \lim_{x \to \infty}\,\, {x\,+\,1 \over x^2\,+\,1} \, = \, \lim_{x \to \infty}\,\, {x/x^2\,+\,1/x^2 \over x^2/x^2\,+\,1/x^2} \,=\, \lim_{x \to \infty}\,\, {1\,-\,2/x\,+\,3/x^2 \over 2\,+\,5/x\,-\,3/x^2} \]