As we all know, electronics are fickle little creatures. Some of us have seen a PC that "you just can't kill." It's run for years, sometimes halfway submerged in water, the cat has lived inside it. The baby fed the powersupply a PB&J sandwich thru the fan grill etc. Some PCs run for decades; there's just no telling when "it will die."
Then again, we've seen TV's that "just die", radios that "played fine until yesterday" etc.
The best thing you can do for a PC/Server is feed it constant, regulated and filtered power. Even under those ideal conditions, individual components like capacitors, chokes and transistors can get out of tolerance/spec or just die. And they will die eventually, regardless!
Exposing a PC to brownouts and/or filthy, unfiltered power is akin to sprinkling water on a gingerbread house; sooner or later it's gonna melt and fall.
IOW, why speed up the inevitable?
But getting back the the original question...
In no particular order:
Unexplained data loss
Programs that just quit or hang
Formerly stable OC now not stable at all
Weird characters/tearing/dropouts on the screen
Any other of 1,000 examples of weird behavior
PC won't even boot anymore, no matter what you do
And to further confuse things, the above behavior is also indicative of a VIRUS.
HTH a little.