The limit as x approaches 0 from above is infinity as you described.
The limit as x approaches 0 from below is NEGATIVE infinity in a manner analogous to how you describe.
Since the left-hand and right-hand limits do not coincide, the limit as x approaches 0 period does not exist...
No harm done. I was also sort of impatient with you...it's exam time, you see.
In the spirit of your joke:
Stupid people will always make more money.
Proof:
By definition,
Power = Work / Time
Rearranging:
Time = Work / Power
Time IS Money, and Knowledge IS Power, so substituting:
Money...
This is frustrating -- these are world-class mathematicians and professionals who have laid this out point by point.
First of all, you can't disagree with mathematical proof, and if you do, you aren't reading it right. And yes, you can argue that somebody wrote a program proving stuff. It's...
Actually, you can argue with your experiment, because you did it wrong.
To explain your problem: IF the main man is guilty (1/3 of the time), then only one of the other guys is guilty, and the guard HAS to point to him. He will point at him 100% of the time. So 1/3 of the time this...