Any versus At All (Is your friend any better at all?)

[Tung Quoc]

Please read:

1. Is your friend any better at all?
2. Is your friend any better?
3. Is your friend better at all?

In the dictionary, I see any = at all.
So, I think only (2) and (3) are correct. But my teacher said (1) is also correct.

Do you think all these 3 sentences have the same meaning?
If yes, do you think either any or at all in (1) is redundant? If not so, please explain me why any and at all stand together in (1)?
If not please tell me the difference in meaning btw them.

Quoc

[DOlier]