Question

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Consider the function fix) e a. Differentiate the Taylor series about 0 of f(x) b. Identify the function represented by the differentiated series c. Give the interval of convergence of the power series for the derivative a. Choose the correct answer below OC. 1+x+可+丁+ D. 1万÷, I. The function represented by the differentiated series is □ C. The interval of convergence of the power series for the derivative is Simplify your answer. Type an inequality or a compound inequality Type an expression using x as the variable)

Show transcribed image text Consider the function fix) e a. Differentiate the Taylor series about 0 of f(x) b. Identify the function represented by the differentiated series c. Give the interval of convergence of the power series for the derivative a. Choose the correct answer below OC. 1+x+可+丁+ D. 1万÷, I. The function represented by the differentiated series is □ C. The interval of convergence of the power series for the derivative is Simplify your answer. Type an inequality or a compound inequality Type an expression using x as the variable)