Math Problem Statement

Find the horizontal asymptote of f(x) = (5x - 2x^3 + 2) / (-3x^3 + 3x^2 + 1).

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Rational Functions
Horizontal Asymptotes

Formulas

Horizontal asymptote for rational function when degrees of numerator and denominator are equal: y = leading coefficient of numerator / leading coefficient of denominator

Theorems

Horizontal asymptote rule for rational functions

Suitable Grade Level

Grades 11-12