49. Integration of arc 0-1 log(1+x)/1+x

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\int_{- 1 / 2}^{1 / 2} ([x] + log \frac{1 + x}{1 - x}) d x

${lim}_{x \to 0} \frac{\sqrt{1 + x} - 1}{l o g (1 + x)}$

log x + log (1 + \frac{1}{x}) + log (1 + \frac{1}{1 + x}) + log (1 + \frac{1}{2 + x}) + \dots \dots \dots + log (1 + \frac{1}{(n - 1 + x)})

lim x \to 0 \frac{\sqrt{1 + x} - 1}{log (1 + x)}

lim x \to 0 \frac{\sqrt{1 + x} - 1}{log (1 + x)}

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