Math  /  Algebra

QuestionFind the horizontal asymptote of f(x)=4x+4x35x3+2x2+3f(x)=\frac{-4 x+4 x^{3}-5}{x^{3}+2 x^{2}+3} y=y=

Studdy Solution
Calculate the horizontal asymptote.
- The leading coefficient of the numerator is 4 (from 4x3 4x^3 ). - The leading coefficient of the denominator is 1 (from x3 x^3 ).
The horizontal asymptote is given by the ratio of these leading coefficients:
y=41=4 y = \frac{4}{1} = 4
The horizontal asymptote of the function is y=4 y = \boxed{4} .

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