The horizontal asymptote of the rational functionis.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to determine the horizontal asymptote of a rational function by comparing the degrees of the numerator and the denominator.
Key Concept Explanation
If the degrees of the numerator and the denominator are the same, the horizontal asymptote is the ratio of the leading coefficients.
Step-by-step Solution
1. Identify the degrees of the numerator and the denominator: both are 2
2. Compare the degrees: since they are the same, the horizontal asymptote is the ratio of the leading coefficients
3. Leading coefficient of the numerator: 5, leading coefficient of the denominator: 2
4. Horizontal asymptote:
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