Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Limits
Taylor Series Expansion
Trigonometric Functions
Formulas
sin(x) ≈ x for small x
Taylor expansion of sin(x^2) = x^2 - x^6/6 + O(x^8)
Taylor expansion of sin^2(x) = x^2 - x^4/3 + O(x^6)
Theorems
Small Angle Approximation
Taylor Series
Suitable Grade Level
University Level Calculus
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