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August 31st, 2018, 11:29 PM   #1
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Question in Co-ordinate Geometry

Can anyone please explain how the value of the infinity norm is equal to the max of all xi's?
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September 1st, 2018, 09:51 AM   #2
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suppose $x > y$

As $p \to \infty$

$x^p$ will dwarf $y^p$ so that effectively

$x^p + y^p \approx x^p$ with equality in the limit

and thus

$\left(x^p + y^p\right)^{1/p} \to \left(x^p\right)^{1/p} = x$

Just apply this idea to each of the elements of the vector.
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