given sequences [tex]\left\{x_n\right\}, \left\{y_n\right\}[/tex], is it true that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sqrt{ \Sigma_{n=1}^{\infty} (x_n - y_n)^2} \leq \Sigma_{n=1}^{\infty} |x_n - y_n|[/tex]

this isn't a homework problem. it's just something that came up - I think it's pretty clear that it's true, but I don't know how to show this.

edit: the sequences are square summable, of course.

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# Is this true? euclidean metric <= taxicab metric

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