Have you drawn a graph of ?
It is essentially the same as that of the metric , WHY?
What are the upper and lower bounds?
Let d denote the usual metric on R and consider the metric e on R
given by e(x, y) = |x − y|/(1 + |x − y|). (You may assume e is a
metric.)
In (R, e), show that B(0, 1) = R, and find B(0,1/3).
Can someone please explain simply what I would have to do to get 4 marks?
Thanks in advance!