True or false: 0.999… (recurring) = 1?What do you think? Qu'en pensez-vous?
Info ou intox: 0,999… (à l'infini) = 1?
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2 comments:
I can't see how 0,999 ad nauseam could equal 1. It would be infinitely close, but not equal. Equal means there's no difference whatsoever, which is false in that case.
At least, that's my take on it, even though admittedly my maths are getting rusty...
That's what most people say, including myself, when they hear the question. But it's not correct.
In fact 0.999... and 1 are simply two ways to express the same number. Here's one proof (there are many):
n = 0.999...
10n = 9.999...
10n - n = 9.999... - 0.999...
9n = 9
n = 1
QED (or in vf: CQFD)
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