metric space assignment

**gaby** · May 12th 2008, 11:40 AM

Hello, I need help with this proof please!, my assignment is due on Wednesday morning and I don't know how to prove it

...please see attached, thanks!

**Plato** · May 12th 2008, 01:47 PM

Here is a strong hint on #1.
See if you can prove the following: $\left( {\forall n} \right)\left[ {\left| {d\left( {a,b} \right) - d\left( {a_n ,b} \right)} \right| < d\left( {a,a_n } \right)} \right]$ .

I cannot read the symbols in #2.

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