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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.

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$\lim_{x\to\infty}{1-\Phi(x)\over \phi(x)/x}=1$

Note that $$\frac{1-\Phi\left(x\right)}{\phi\left(x\right)}=\frac{1}{\lambda\left(-x\right)}$$ where $$\lambda\left(x\right)=\frac{\phi\left(x\right)}{\Phi\left(x\right)}$$ is the inverse-Mill's ratio …
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