Math Is Fun Forum

Also:

Happy anniversary and congrats!

I think there is a far more important question. Do you like transparent soap?

Meant it the other way round. It's always irrational.

Proof for b):

Reminds me of:

Hmmm...

I don't think 1 is correct. Have you tried to plot it. It's wild.

Where did he not allow the squeeze theorem?

Also, A\B can be used to mean A-B.

I heard it was used a long time ago by the primitive native tribes of San Serriffe.

Yep. Here's another interesting one:

Does continuity of a function f on [a,b] guarantee continuity of the function g(x)=sup{f(t)|a≤t≤x} on [a,b]? What about differentiability?

It can, why do you think it can't?

Well, it certainly does exist.

Think of it this way: If you take any number that's a period, there is a number smaller than that one that's also a period.