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{\rm Ei}(0)  = -\infty



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{\rm Ei}(-\infty)  = 0



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\lim_{|z| \rightarrow \pm \infty } {\rm Ei}(z+\infty)  = 0+\infty



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\frac{d }{dx}{\rm Ei}(x) = \frac{e^x}{x}


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