Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Taylor Series
Derivatives
Polynomials
Formulas
Taylor Polynomial: T_n(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)^2 + ... + (f^{(n)}(a)/n!)(x - a)^n
Given nth derivative: f^{(n)}(2) = n! / (n ⋅ 3^n)
Theorems
Taylor's Theorem
Suitable Grade Level
College level
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