Hi

I'm trying to prove that the following two staments are equivalent.

Let A and B be closed subsets of Rd, and suppose that A is bounded.

i) A and B are disjoint

ii) There exists a pair of sequences (xn) (subset of A) and (yn) (subset of B) such that

lxn-Ynl->0.

Any help would be appreciated, not too sure here to start.