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HOMEWORK 10 Exercise 1. Let (X, d) be a metric space and let A ⊆ X be complete. Show that A is closed. Exercise 2. Let (X, d)
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SOLVED: Question 1: Let X be a normed linear space, and for any r ∈ X, determine whether the set y ∈ X : ||z - y|| < r is convex. (6).
![SOLVED: Q4. Let (X. d) metric space with ACX Define and give an example of each of the following terms: [12 marks] bounded subset A of X compact metric space Cauchy sequence](https://cdn.numerade.com/ask_images/039bc2bacf884a9dbd13242914677857.jpg "SOLVED: Q4. Let (X. d) metric space with ACX Define and give an example of each of the following terms: [12 marks] bounded subset A of X compact metric space Cauchy sequence")
SOLVED: Q4. Let (X. d) metric space with ACX Define and give an example of each of the following terms: [12 marks] bounded subset A of X compact metric space Cauchy sequence
Metric Spaces: Open and Closed Sets
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