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Math Help - [Real analysis] Is this function measurable?

  1. #1
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    [Real analysis] Is this function measurable?

    [Real analysis]
    For x in |Rn, is the function f(x)=e-|x|^2 measurable? Why?
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  2. #2
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    Re: [Real analysis] Is this function measurable?

    A function f:\mathbb{R}^n \to \mathbb{R} is measurable if the set \{x \in \mathbb{R}^n|f(x)<c\} is measurable for all real numbers c. What do these sets look like?

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  3. #3
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    Re: [Real analysis] Is this function measurable?

    Oh I see! Thank you very much.
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