Math Problem Statement
lim x→−∞ root 3x^4+x/x2−8
Solution
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Math Problem Analysis
Mathematical Concepts
Limits
Asymptotic Behavior
Radicals
Formulas
lim_{x \to -\infty} \frac{\sqrt{3x^4 + x}}{x^2 - 8}
Approximation: \sqrt{3x^4 + x} \approx \sqrt{3}x^2
Dominating term behavior for large |x|
Theorems
Limit Theorems
Asymptotic Approximation
Square Root Approximation
Suitable Grade Level
Grades 11-12 (Pre-Calculus and Calculus)
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