My Math Forum Question in Co-ordinate Geometry

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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 Senior Member     Joined: Sep 2015 From: USA Posts: 2,584 Thanks: 1430 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. Thanks from topsquark

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