Question: We haven't covered Hausdroff spaces yet so please do not use this concept when trying to explain it please. (b) Show that the sum of

We haven't covered Hausdroff spaces yet so please do not use this concept when trying to explain it please.

(b) Show that the sum of a compact set E C R and a closed set F C R is closed. Hint: A set is closed iff it contains all of its limit points (where a limit point is just the limit of a convergent sequence in the set)

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