CRN 11982: HW 3

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Problem 11. Let $X$ be a non-empty set that is bounded from below. Show that there is a decreasing sequence $(x_n)_{n=1}^\infty$ of elements in $X$ that converges to $\inf X$.

Problem 12. Exercise 2.3.10

Problem 13. Exercise 2.3.11

Problem 14. Exercise 2.4.2

Problem 15. Exercise 2.4.5

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