Determine the interval of convergence for the power series that can be used to represent the function \begin{equation*} f(x) = \frac{15x + 11}{x^2 - 1} \end{equation*} centered at 0. Give your answer in interval notation. Provide your answer below:
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Given f(x) = (15x + 11)/(x^2 - 1), we can rewrite it as: f(x) = (15x + 11)/((x + 1)(x - 1)) Using partial fractions, we can express f(x) as: f(x) = A/(x + 1) + B/(x - 1) Multiplying both sides by (x + 1)(x - 1), we get: 15x + 11 = A(x - 1) + B(x + Show more…
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