Math Problem Statement
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.]
f(x) = ln(x), a = 2
∞ f(x) = ln(2) + ∑ ( ? ) n = 1
Find the associated radius of convergence, R. R = ?
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Taylor series
Power series
Radius of convergence
Formulas
Taylor series expansion
Radius of convergence formula
Theorems
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Suitable Grade Level
College