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I know that the triangle inequality is lx+y|<= |x| +|y|
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| ??
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| ??