September 1st, 2018, 12:29 AM  #1 
Newbie Joined: Sep 2018 From: India Posts: 1 Thanks: 0  Question in Coordinate Geometry
Can anyone please explain how the value of the infinity norm is equal to the max of all xi's?

September 1st, 2018, 10:51 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,202 Thanks: 1157 
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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