I'm trying to do a problem concerning converging sequences in normed linear spaces. Can anyone help me prove that if x=(x1,x2........,xn) is a vector in an n dimensional vector space then |xi| where i=1,2.....,n; is always less than or equal to ||x|| (norm of x). Maybe start out by writing x as a sum of n multiples of the basis vectors?(adsbygoogle = window.adsbygoogle || []).push({});

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# Homework Help: Norm of a vector problem.

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