## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Limits

Derivatives

Continuity

### Formulas

f'(x) for x ≠ 0 (using product rule)

Limit definition of derivative: f'(0) = lim(h -> 0) [f(h) - f(0)] / h

Limit test for continuity at x = 0: lim(x -> 0) f'(x)

### Theorems

Limit Theorem

Product Rule for Derivatives

Continuity Test

### Suitable Grade Level

College Level (Calculus I or II)