Math Problem Statement
h(t) =
t3 t6 + 1 2
Solution
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Math Problem Analysis
Mathematical Concepts
Rational Functions
Limits
Derivatives
Formulas
h(t) = \frac{t^3}{t^6 + 1}
Derivative of a rational function: \frac{d}{dt} \left(\frac{f(t)}{g(t)}\right) = \frac{f'(t)g(t) - f(t)g'(t)}{g(t)^2}
Limits: \lim_{t \to \infty} h(t)
Theorems
Limit Theorem
Quotient Rule for Differentiation
Suitable Grade Level
Grades 11-12 or First-year Calculus
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