# Supremum and Infimum

Watch
Announcements
#1

Now, here's where my problem comes in:

I know that the union of measurable sets is measurable, and if I could just state the above, I'd be fine, but it's asking me to show it, and I have no idea how to start

Does anyone have any idea where I can start to solve this?
0
6 years ago
#2
Maybe (probably!) I'm being stupid, but is the first identity actually true?

Take the measurable space as [0,1] with standard measure (though it hardly matters what we choose), and define X_n(x) = 1 - 1/n (so a constant function).
Then , but so .
0
X

new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Do you have the space and resources you need to succeed in home learning?

Yes I have everything I need (149)
60.08%
I don't have everything I need (99)
39.92%