Mmm... I think that when PC is frozen (for example a lagging program takes all its memory and prints endless "1 0 1 0 ..." on the screen. It could be called infinity perhaps... but this infinity would be limited by electricity. So it would be an infinity, dependable on nature/human/ paying bills
As far as know, computer has no "infinity" number inside BIOS or programs of higher level. Only very big numbers, only formulas with "n", but no ... well, no idea of infinity, as it seems to me.
I think it's impossible to "explain" the meaning of infinity to a pile of iron hardware, it's something unexplainable even for us, humans. We simply catch the meaning by intuition, and hardware doesn't have "the 6th feeling"