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Limit of a Rational Function as x approaches Infinity: (3x^2 + 2x) / (x^2 + 1)
Published on November 5, 2025
Calculus
This problem involves finding the limit of a rational function as x approaches infinity. The solution involves dividing by the highest power of x in the denominator or by comparing the leading coefficients of the numerator and denominator.
Question
Find the limit: lim(x→∞) (3x² + 2x) / (x² + 1)
Answer
Theorems
• Limit of a Rational Function (Equal Degrees)
• Limit Properties and Behavior at Infinity
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