## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Limits

Logarithmic Functions

Trigonometric Functions

Exponential Functions

### Formulas

L'Hopital's Rule: lim (f(x)/g(x)) as x -> a = lim (f'(x)/g'(x)) if the limit results in 0/0 or ∞/∞

Logarithmic Limit: lim x -> ∞ of ln(x)

Trigonometric Limit: lim x -> 0 of sin(x)/x = 1

Exponential Limit: lim x -> 0 of (1 + x)^{1/x}

### Theorems

L'Hopital's Rule

Logarithmic Growth

Squeeze Theorem

### Suitable Grade Level

College Calculus

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