SOLUTION: Find the slant asymptote of the rational function: R(x)= x^3-2x^2+1/x-2

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Question 973317: Find the slant asymptote of the rational function:
R(x)= x^3-2x^2+1/x-2
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
None. The asymptote could be quadratic or to a parabola, but not a line in your function example.

You can find the parabolic asymptote if you want, just doing the indicated polynomial division. The quotient, without the remainder, is the asymptote.




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Assumption: you have %28x%5E3-2x%5E2%2B1%29%2F%28x-2%29.


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Note carefully: No horizontal asymptote either. Degrees of numerator and denominator are not equal.