Answer: Evaluating an infinite series Write the Taylor
Chapter 9, Problem 53(choose chapter or problem)
Evaluating an infinite series Write the Taylor series for f 1x2 = ln 11 + x2 about 0 and find its interval of convergence. Assume the Taylor series converges to f on the interval of convergence. Evaluate f 112 to find the value of a _ k = 1 1-12k + 1 k (the alternating harmonic series).
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