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Find the horizontal asymptote (Show your work)

Find the horizontal asymptote (Show your work)-example-1

1 Answer

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Answer:


y = 0

Explanation:

To find the given asymptote of the given function,
f(x) = (x^2 - 2x + 1)/(x^3 + x - 7), first, compare the degrees of the lead term of the polynomial of the numerator and that of the denominator.

The numerator has a 2nd degree polynomial (x²).

The denominator has a 3rd degree polynomial (x³).

The polynomial of the numerator has a lower degree compared to the denominator, therefore, the horizontal asymptote is y = 0.

User Grant Paul
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