Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Limits
L'Hopital's Rule
Taylor Series
Formulas
L'Hopital's Rule: lim(x -> c) f(x)/g(x) = lim(x -> c) f'(x)/g'(x), given an indeterminate form
Taylor expansion for small angles: sin(x) ≈ x, tan(x) ≈ x for x -> 0
Theorems
L'Hopital's Rule
Taylor Expansion
Suitable Grade Level
Grades 11-12, University Calculus
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