Real analysis

1- if A1,A2,A3,...,Am are each countable sets, then the union A1 U A2 U A3...U Am is countable

2- if An is a countable set for each n belong to N,then Un=1(to infinity) An is countable

Solution Summary

This is a proof regarding countability of sets.

$2.19

Purchase Solution

$2.19

Solution provided by:

Changping Wang, MA

About Expert

Related Solutions

Real analysis

Real Analysis. Let (a_n) be a bounded sequence and define the set S={x belong
to R: x< a_n for infinitely many terms a_n}. show that ...

Real analysis

Real Analysis. Let xn(smaller n)>=0 for all n belong to N a) if (xn)-->0, show
that(sqrt[xn])-->0 b)if (xn)-->x,show that(sqrt[xn])-->x. ...

Introductory Real Analysis

Introductory Real Analysis. Complete question 1, 4 and 8 only. ** Please see the
attached file for the complete solution response ** Solutions: ...

Data Analysis and Decision Making - Imagine you are a real estate investor presented with a regression analysis of home sales in the neighborhood of one of your investment properties.

Data Analysis and Decision Making - Imagine you are a real estate investor presented
with a regression analysis of home sales in the neighborhood of one of ...

BrainMass