Most cable failures don't announce themselves ahead of time. You'll notice one of a few patterns: the door tips to one side as it opens or closes, there's a sudden loud bang followed by the door refusing to move, or you see frayed strands bunched up near the bottom bracket before the cable actually lets go.
Sometimes it's slower - a door that's started drifting off-track over weeks, scraping one side of the frame, because a cable has been stretching or slipping off its drum a little at a time. On older torsion setups, this often shows up as uneven roller wear on one side of the track before the cable itself gives out.
If the door won't move at all and the opener is straining or clicking, stop hitting the button. A cable under tension that's already partly broken can whip when it finally separates, and it's not something to be near while it happens.