Evaluate the following limits if they exist
1) \(\displaystyle \lim_{s\to+\infty}\frac{1}{\ln s}\int_{0}^{+\infty}\frac{e^{-\frac{x}{s}-\frac{1}{x}}}{x}\,dx\)
2) \(\displaystyle \lim_{s\to+\infty}\left(\int_{0}^{+\infty}\frac{e^{-\frac{x}{s}-\frac{1}{x}}}{x}\,dx-\ln s\right)\).
Estimation of a parametric integral
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