Let $ (X,d)$ be an unbounded metric space. Is it right to say: There are a $ c\in X$ and $ \{x_n\}_{n \in {N}}\subset X$ such that $ \lim_{n \to +\infty}d(x_n,c)=+\infty$ ?
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Let $ (X,d)$ be an unbounded metric space. Is it right to say: There are a $ c\in X$ and $ \{x_n\}_{n \in {N}}\subset X$ such that $ \lim_{n \to +\infty}d(x_n,c)=+\infty$ ?