Math Problem Statement
Find the third order Taylor polynomial at x=0 of f(x)=(1−x)1/7.
Solution
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Math Problem Analysis
Mathematical Concepts
Taylor Series
Polynomial Approximation
Derivatives
Formulas
P_n(x) = f(0) + f'(0)x + \frac{f''(0)}{2!}x^2 + \frac{f^{(3)}(0)}{3!}x^3
Derivative of power functions using the chain rule
Theorems
Taylor Series Expansion
Suitable Grade Level
Undergraduate Calculus
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