A <metric space> is <complete> if every <Cauchy sequence> of its points converges to a point of that same space. The requirement on the location of the limit distinguishes, for example, $\mathbb R$ from its incomplete subspace $\mathbb Q$.

Solution

Past exam of the Probability, statistics and options II course of the University of Oxford / 2010 / E / E4 / b / ii / Solution

 Solution (source code)