Math Problem Statement

Evaluate lim x→8 3 √x−2 x−8 .

Solution

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Math Problem Analysis

Mathematical Concepts

Limits
Indeterminate Forms
Rationalization
Cube Roots

Formulas

lim (x→a) f(x) / g(x) = 0/0 (Indeterminate Form)
(a - b)(a^2 + ab + b^2) = a^3 - b^3 (Rationalizing the numerator)

Theorems

Limit Theorem
Indeterminate Forms
Rationalization Techniques

Suitable Grade Level

Grades 11-12 (Advanced High School Calculus)