Consider the sequence of functions on the space Is convergent?

Well I think this is a limit problem, but I don't know how to compute it, any ideas?

Printable View

- Apr 3rd 2011, 04:06 PMConnectedSequence of functions
Consider the sequence of functions on the space Is convergent?

Well I think this is a limit problem, but I don't know how to compute it, any ideas? - Apr 3rd 2011, 04:53 PMDrexel28
- Apr 3rd 2011, 05:21 PMConnected
- Apr 3rd 2011, 05:23 PMDrexel28
It is the indicator function--and no I can't show you how to solve the problem. This is your homework, me telling you how to solve it will mean that you might fail your test, drop out of school, etc. I can't handle that kind of guilt.

Why don't*you*solve it, and we'll check it. - Apr 3rd 2011, 05:27 PMConnected
But I'm not actually asking you to solve me the problem completely, a hint could be a help. :(

- Apr 3rd 2011, 05:37 PMDrexel28
I gave you a big hint. If in then must be continuous, but a quick check shows that which is the indicator function on the rationals.