2.3a Lösning 6d
Från Mathonline
\[ \lim_{x \to \infty}\,\, {x\,+\,1 \over x^2\,+\,1} \, = \, \lim_{x \to \infty}\,\, {x/x^2\,+\,1/x^2 \over x^2/x^2\,+\,1/x^2} \,=\, \lim_{x \to \infty}\,\, {1/x\,+\,1/x^2 \over 1\,+\,1/x^2} \,=\, {0\,+\,0 \over 1\,+\,0} \,=\, {0 \over 1} \,=\, 0 \]
