Math Problem Statement
find the limit
Solution
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Math Problem Analysis
Mathematical Concepts
Limits
Trigonometric Functions
Indeterminate Forms
Series Expansion
Formulas
L'Hopital's Rule: \( \lim_{x \to 0} \frac{f(x)}{g(x)} = \lim_{x \to 0} \frac{f'(x)}{g'(x)} \) for indeterminate forms
Small angle approximations for \( \tan{x} \approx x \) and \( \sin{x} \approx x \)
Binomial expansion: \( (1 + x)^n \approx 1 + nx \)
Theorems
L'Hopital's Rule
Taylor Series Expansion
Suitable Grade Level
Undergraduate Mathematics or Advanced High School Calculus
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