Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Limits
Trigonometric Functions
L'Hopital's Rule
Taylor Series
Formulas
lim(x -> 0) (1 - cos(x)) / x^2 = 1/2
lim(x -> 0) (1 - cos(x)) / 5x^2 = (1/5) * lim(x -> 0) (1 - cos(x)) / x^2
Theorems
L'Hopital's Rule
Taylor Series Expansion
Suitable Grade Level
Grades 11-12, Calculus
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