## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Limits

Logarithmic Functions

Taylor Series

Indeterminate Forms

### Formulas

Taylor series: cos(x) ≈ 1 - x^2/2

Logarithmic approximation: ln(1 - u) ≈ -u for small u

### Theorems

L'Hopital's Rule

Taylor Series Expansion

### Suitable Grade Level

Grades 11-12

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