CRN 12109: HW 1

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(Created page with "'''Problem 1.''' Exercise 1.3.2. '''Problem 2.''' Exercise 1.3.3. '''Problem 3.''' Exercise 1.4.4. '''Problem 4.''' Let $A=\{x\in\mathbb{Q}\ |\ x^2\leq 5\}$. Show that A is...")
 
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'''Problem 1.''' Exercise 1.3.2.
 
'''Problem 1.''' Exercise 1.3.2.
  
'''Problem 2.''' Exercise 1.3.3.
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'''Problem 2.''' Exercise 1.3.3 (a)(b).
  
 
'''Problem 3.''' Exercise 1.4.4.
 
'''Problem 3.''' Exercise 1.4.4.

Revision as of 10:04, 3 September 2013

Problem 1. Exercise 1.3.2.

Problem 2. Exercise 1.3.3 (a)(b).

Problem 3. Exercise 1.4.4.

Problem 4. Let $A=\{x\in\mathbb{Q}\ |\ x^2\leq 5\}$. Show that A is bounded from above, but that $A$ has no maximum.

Problem 5. Show that the Nested Interval Property implies the Axiom of Completeness.

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