Macroeconomics Exam Review 10

# Macroeconomics Exam Review 10 - Figure 1.3 A convergent...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( , ) ( , ) Figure 1.3: A convergent sequence cannot have two distinct limits 1.98 The share of the th guest is = 1 2 lim = 0 However, > 0 for all . There is no limit to the number of guests who will get a share of the cake, although the shares will get vanishingly small for large parties. 1.99 Suppose → . That is, there exists some such that ( , ) < / 2 for all ≥ . Then, for all , ≥ ( , ) ≤ ( , ) + ( , ) < / 2 + / 2 = 1.100 Let ( ) be a Cauchy sequence. There exists some such that ( − ) < 1 for all ≥ . Let = max { ( 1 − ) , ( 2 − ) ,..., ( − 1 − ) , 1 } Every belongs to ( , + 1), the ball of radius...
View Full Document

## This note was uploaded on 01/16/2012 for the course ECO 2024 taught by Professor Dr.dumond during the Fall '10 term at FSU.

Ask a homework question - tutors are online