(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that d and p are equivalent metrics on X where p=d(x,y)/(1+d(x,y))

2. Relevant equations

ive proved already that p is indeed a metric too (if d is a metric).

3. The attempt at a solution

I believe im supposed to use the Lipschitz condition where there exits constants A and B st for all x,y,

Ap<=d<=Bp

but i think i can actually prove that one of these two constants cannot exist... and i using the wrong definitions? Thanks!

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# Homework Help: Equivalent metrics

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