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Math Help - Really difficult about metric space

  1. #1
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    Really difficult about metric space

    Let (R,d) be a metric space. Is it true, that for any metric d, from d(x_{n},x)\longrightarrow 0 follows d(x_{n}-x,0) converges, when n\longrightarrow\infty?
    Actually, it is not true, but it is terribly difficult to find counterexample
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  2. #2
    Super Member girdav's Avatar
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    Re: Really difficult about metric space

    How is x_n-x defined on a metric space?
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    Senior Member vincisonfire's Avatar
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    Re: Really difficult about metric space

    Quote Originally Posted by girdav View Post
    How is x_n-x defined on a metric space?
    I guess you could add what is 0 in your metric space.
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