Thread: Incomplete Metric Space

Dear Colleagues,

Could you please help me in solving the following problem:

show that the set of all real number constitutes an incomplete metric space if we choose


Best Regards

Originally Posted by raed

Dear Colleagues,

Could you please help me in solving the following problem:

show that the set of all real number constitutes an incomplete metric space if we choose


Best Regards

What can you say about the sequence , where ?

Thank you very much for your reply. But is this Cauchy.

Regards,

Raed.

Originally Posted by raed

Thank you very much for your reply. But is this Cauchy.

That is what you have to decide, using the given metric.

Originally Posted by raed

But is this Cauchy.

Here is a large hint: .