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Power Serieshard
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Use the power series for ln⁡(1+x)=∑n=1∞(−1)n+1xnn\ln(1+x) = \sum_{n=1}^{\infty} \frac{(-1)^{n+1} x^n}{n}ln(1+x)=∑n=1∞​n(−1)n+1xn​ to approximate ln⁡(2)\ln(2)ln(2) using the first 6 terms. Which interval contains this approximation?