Question 91079
{{{F(x) = (5x^2 + 1)/(x^2 + 2x + 1)}}}
Easiest way for eveyone would be to visualize with a graph.
Or:
lim[x ~> +{{{inf}}}] {{{(5x^2 + 1)/(x^2 + 2x + 1)}}}
.
lim[x ~> +{{{inf}}}] {{{(5x^2/x^2 + 1/x^2)/(x^2/x^2 + 2x/x^2 + 1/x^2)}}}
.
lim[x ~> +{{{inf}}}] {{{(5 + 1/x^2)/(1 + 2/x + 1/x^2)}}}
.
{{{5/1}}} so: y = 5
{{{graph(900,150,-40,40,-2,8,5,(5x^2 + 1)/(x^2 + 2x + 1))}}}