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Metric spaces and complex analysis course of the University of Oxford

Past exam of the metric spaces and complex analysis course of the University of Oxford

2017

The <sequence> converges to $x\in X$ if
$$
\forall\varepsilon>0\ \exists N\ \forall n\geq N:\quad d(x_n,x)<\varepsilon.
$$
Equivalently $d(x_n,x)\to0$. The limit must belong to the specified <metric space>, not just to a larger space containing it.

Solution

Past exam of the metric spaces and complex analysis course of the University of Oxford / 2017 / 1 / a / ii / Solution

Past exam of the metric spaces and complex analysis course of the University of Oxford / 2017 / 1 / a / ii / Solution

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Past exam of the metric spaces and complex analysis course of the University of Oxford / 2017 / 1 / a / ii / Solution

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