Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Limits at Infinity
Asymptotic Behavior
Arctangent Function
Cubic Roots
Formulas
lim_{x -> ∞} ( sqrt[3]{x+1} / (x^2 + 3) ) * arctan(x)
arctan(x) -> π/2 as x -> ∞
Behavior of sqrt[3]{x} -> x^(1/3) for large x
Theorems
Limit Theorems
Dominance of Polynomial Terms
Asymptotic Approximation of Functions
Suitable Grade Level
Undergraduate Calculus
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