1. The problem statement, all variables and given/known data Given (R+, d), R-Real # d= | ln(x/y) | Show that this metric space is complete 2. Relevant equations 3. The attempt at a solution Firstly, I know that to show it is complete I need to have that all Cauchy sequences in that space converge... So I'm not 100% sure, but if I know I have to generalize so that it works for every Cauchy sequence, so can I find subsequences that converge, and then say that each sequence converges??? :S if so, how do I start this without picking specific cases, or can I pick a specific sequence in that space?