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How do you find oblique asymptote of #(2x^2 + x + 2) /(x + 1)#?

Answer 1

Christian Antunez

y=2x-1

Simplify by long division to have y= 2x-1 +#3/(x+1)#

The quotient so obtained is the oblique asymptote.

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Answer 2

Liam Brennan

To find the oblique asymptote of the function (\frac{2x^2 + x + 2}{x + 1}), you perform polynomial long division to divide the numerator by the denominator. This results in a quotient and a remainder. The oblique asymptote is given by the quotient obtained from the division.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.