SOLUTION: Please help me with this problem: What is the equation for the asymptote for: R(x)=x^3+1/x^2+1

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Question 144193: Please help me with this problem:
What is the equation for the asymptote for:
R(x)=x^3+1/x^2+1
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Perform polynomial long division like this:

Photobucket


Since the quotient is x, this means that the equation of the asymptote is y=x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with this problem:
What is the equation for the asymptote for:
R(x)=x^3+1/x^2+1
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Vertical asymptote: None because the denominator is never zero.
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Horizontal asymptote: 1x^3/0x^3 is undefined; so no horizontal asymptote
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Slant asymptote:
R(x)/(x^2+1) = (x-1) + 2/(x^2+1)
Slant asymptote is y = x-1
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Cheers,
Stan H.