No disrespect intended to either of you, but you both seem to be making my point for me. You both seem to be using your imagination to scare yourselves.
Setting Wikipedia aside for the moment...
You take the A out of A.I., and you're left with intelligence. There is no artificial intelligence. Whether it be man-made or no, like all creatures (creations), they are images of their creator(s).
And there are, I believe, both limitations and no limitations. There's always an "if" that both limits us and breaks beyond our limits. For A.I., we're considering it as probably mostly some form of software, with reliance on hardware, not a whole lot unlike ourselves. I think what is easy to perhaps lose sight of is the speed. And of course, that's where A.I. limitations may (in theory) exceed our own (at least perceived -- this physical form could merely be some type of larval stage). And of course, time is...well, let's not.
Perhaps that's what made a movie like the original Wizard of Oz such a classic. After we're done scaring the shit out of ourselves, you find out there's no one behind the curtain but us.