- #1
rocomath
- 1,755
- 1
Indexed Collection of Sets ... :(((
My notes are confusing me so bad, worst part is that we're not using our book till later on and that just kills me a lot. I'm very text-book because notes never make sense to me.
Let [tex]A_n=[0,n][/tex]
a) What numbers are in [tex]\bigcup_{n=1}^{\infty}A_n[/tex]?
b) What numbers are in [tex]\bigcap_{n=1}^{\infty}A_n[/tex]?
Ok, so I have an example here ...
If
[tex]I=\{1,2,3...\}[/tex]
[tex]A_i=[-i,i][/tex]
Then
[tex]\bigcup=\mathbb{R}[/tex]
[tex]\bigcap=[-1,1][/tex]
I honestly, can't remember how we got [-1,1]?
a) Since An goes from 0 to n, wouldn't that make [tex]\bigcup=[0,\infty)[/tex]?
My notes are confusing me so bad, worst part is that we're not using our book till later on and that just kills me a lot. I'm very text-book because notes never make sense to me.
Let [tex]A_n=[0,n][/tex]
a) What numbers are in [tex]\bigcup_{n=1}^{\infty}A_n[/tex]?
b) What numbers are in [tex]\bigcap_{n=1}^{\infty}A_n[/tex]?
Ok, so I have an example here ...
If
[tex]I=\{1,2,3...\}[/tex]
[tex]A_i=[-i,i][/tex]
Then
[tex]\bigcup=\mathbb{R}[/tex]
[tex]\bigcap=[-1,1][/tex]
I honestly, can't remember how we got [-1,1]?
a) Since An goes from 0 to n, wouldn't that make [tex]\bigcup=[0,\infty)[/tex]?