CRN 11982: HW 5
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'''Problem 25.''' Find all limit points of the set | '''Problem 25.''' Find all limit points of the set | ||
| − | \[\left\{\frac{1}{m}+\frac{1}{n}\ | + | \[\left\{\frac{1}{m}+\frac{1}{n}\ :\ m,n\in\mathbb{N}\right\}\] |
Remember that A=B ⇔ (A⊆B)∧(B⊆A). | Remember that A=B ⇔ (A⊆B)∧(B⊆A). | ||
Latest revision as of 09:15, 15 October 2014
Problem 21. Exercise 3.2.2 (a-c)
Problem 22. Given a set X of real numbers, let L be the set of all limit points of X. Show that L is closed.
Problem 23. Show: If X is both open and closed, then X=R or X=∅.
Problem 24. Exercise 3.2.9 (a)
Problem 25. Find all limit points of the set
{1m+1n : m,n∈N}
Remember that A=B ⇔ (A⊆B)∧(B⊆A).
