Shew that \( \log _{e}(n+a)-\log _{e}(n-a)=2\left(\frac{a}{n}+\frac{a^{3}}{3 n^{3}}+\frac{a^{5}}...

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Shew that \( \log _{e}(n+a)-\log _{e}(n-a)=2\left(\frac{a}{n}+\frac{a^{3}}{3 n^{3}}+\frac{a^{5}}{5 n^{5}}+\ldots\right) \).
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