Let S be the set of all sequences of real numbers (xn) for which x < 0, n=1 that is, the series x converges. Define the function d :S × S → R by n= d(x, y) E("n – Yn)² n=1 where x = (xn) and y = (yn) are elements in S. Determine whether d is a metric on S or not.
Unitary Method
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Speed, Time, and Distance
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Units and Measurements
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Determine whether d is a metric on S
or not
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