SOLUTION: Find the horizontal asymptote of F(x) = 5x^2+1/x^2+2x+1

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Question 91079: Find the horizontal asymptote of F(x) = 5x^2+1/x^2+2x+1
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
F%28x%29+=+%285x%5E2+%2B+1%29%2F%28x%5E2+%2B+2x+%2B+1%29
Easiest way for eveyone would be to visualize with a graph.
Or:
lim[x ~> +inf] %285x%5E2+%2B+1%29%2F%28x%5E2+%2B+2x+%2B+1%29
.
lim[x ~> +inf] %285x%5E2%2Fx%5E2+%2B+1%2Fx%5E2%29%2F%28x%5E2%2Fx%5E2+%2B+2x%2Fx%5E2+%2B+1%2Fx%5E2%29
.
lim[x ~> +inf] %285+%2B+1%2Fx%5E2%29%2F%281+%2B+2%2Fx+%2B+1%2Fx%5E2%29
.
5%2F1 so: y = 5
graph%28900%2C150%2C-40%2C40%2C-2%2C8%2C5%2C%285x%5E2+%2B+1%29%2F%28x%5E2+%2B+2x+%2B+1%29%29