A question about metric spaces/topology: Let L be the set of all sequences of real numbers x={x1, x2,...,xn,...} with the property that the series |x1| + |x2| + ... is convergent. If we define d(x,y)=|x1-y1| + |x2-y2| + ... for all x,y in L, prove that (L,d) is a metric space.

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Thanks experimentX! It's so easy and yet I didn't see it. :-)

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