Power Serieshard
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We approximate ln(1.2)\ln(1.2) using the NN-th degree Taylor polynomial of f(x)=ln(x)f(x) = \ln(x) centered at x=1x=1, given by PN(1.2)=n=1N(1)n1n(0.2)nP_N(1.2) = \sum_{n=1}^N \frac{(-1)^{n-1}}{n} (0.2)^n. According to the Alternating Series Estimation Theorem, which of the following statements is/are correct?