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Estimate of the ratio $\frac{1}{\sqrt{2\pi}}e^{-x^2/2}(1-\text{erf}(x))$ (for standard normal distribution)

Define the probability density and cumulative probability of the standard Gaussian: $$ f(t) =\frac{1}{\sqrt{2\pi}} e^{-t^2/2}, \text{erf}(x) = \int_{-\infty}^x f(t) dt. $$ How can I prove that the ...
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Remainder in Asymptotic Expansion of Erfc

According to Abramowitz and Stegun: Handbook of Mathematical Functions (7.1.23 and 7.1.24, http://people.math.sfu.ca/~cbm/aands/page_298.htm), we have Asymptotic expansion of Erfc is given by \begin{...
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