dexter lab
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- Joined
- Jun 7, 2015
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"Verify if both of this functions are integrable in their domains:
$g(x) = ( ||x||^2 + 1)^{ \frac{a}{b} }, \forall a>n$, domain in $ \mathbb{R} ^n$
$h(x) = ||x||^{-||x||}$, defined in $\mathbb{R}^3$"
I can't work this out. I believe I have to prove that there exists a majorant in the integral of the functions but I don't know how. Thank you.
IMPORTANT: I ask the admins to correct the notation because ai try LaTex notation but the preview post doesn't seem to be working. And ai don't know how to use it correctly. Thanks!"
$g(x) = ( ||x||^2 + 1)^{ \frac{a}{b} }, \forall a>n$, domain in $ \mathbb{R} ^n$
$h(x) = ||x||^{-||x||}$, defined in $\mathbb{R}^3$"
I can't work this out. I believe I have to prove that there exists a majorant in the integral of the functions but I don't know how. Thank you.
IMPORTANT: I ask the admins to correct the notation because ai try LaTex notation but the preview post doesn't seem to be working. And ai don't know how to use it correctly. Thanks!"
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