Exercises
[0NG]If \((x_ n)β X\) is a Cauchy sequence, \((y_ n)β X\) is another sequence, and \(d(x_ n,y_ n)β_ n 0\), then \((y_ n)β X\) is a Cauchy sequence.
[0NG]If \((x_ n)β X\) is a Cauchy sequence, \((y_ n)β X\) is another sequence, and \(d(x_ n,y_ n)β_ n 0\), then \((y_ n)β X\) is a Cauchy sequence.