I know that the triangle inequality is lx+y|<= |x| +|y|(adsbygoogle = window.adsbygoogle || []).push({});

Does this hold for a summation of say Sigma (|xn+yn|) <= sigma|xn| + sigma|yn| for n=0 to infinity?

would this also work for sup|x+y| ??

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# Homework Help: Does triangle inequality hold for summations and sup?

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