Cantor set

I don't understand what infinity is, but Cantor set is almost similar with prime numbers and my blog.

At first, you get rid of the center of each block.

This is the infinite pattern, so I can also write this. You keep deleting the center.

F0=1
F1=1/3
F2=1/9
F3=1/27
・
・
・
F(x)=1/3^x

If x is infinite, F(x) may be Zero, but it isn't.
Imaginary lines may be real, if zero exists.
Basically, Cantor set is expressed by on and off, but zero would mean none duality of duality.

You always have the one block, and you take the center off.

Therefore, 0*3^∞ must be 1, and this is ridiculous.
Is this the philosophical problem?
I'm not so curious about it.