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Originally posted by jfili at 2011-05-12 08:28:24:
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http://latex.codecogs.com/gif.latex?\lim_{x\to-\infty})(f(x)-x)\\&space;=\lim_{x\to-\infty}x(e^{\frac{\pi}{2}+arctanx}-1)-\lim_{x\to-\infty}e^{\frac{\pi}{2}+arctanx}\\&space;=\lim_{x\to-\infty}\frac{e^{\frac{\pi}{2}+arctanx}-1}{\frac{1}{x}}-1\\&space;=\lim_{x\to-\infty}\frac{e^{\frac{\pi}{2}+arctanx}\frac{1}{1+x^2}}{-\frac{1}{x^2}}-1\\&space;=-2

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