[Real analysis]
For x in |R^{n}, is the function f(x)=e^{-|x|}^{^2} measurable? Why?
A function $\displaystyle f:\mathbb{R}^n \to \mathbb{R}$ is measurable if the set $\displaystyle \{x \in \mathbb{R}^n|f(x)<c\}$ is measurable for all real numbers $\displaystyle c$. What do these sets look like?
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