No-one really writes that 0.999... equals 1 because there is this gap, and that won't just piss off no matter how tiny it is. More like writing 0.9, then adding a little line, like a roof, at the top of the 9 so we know that it would go on forever. That's how we do it.
if you meant to say the infinite sum as t goes from 1 to infinity then you noted it wrong, additionally that would just end up being a limit, do you know what a limit is? im pretty sure thats pretty basic level math, precalculus i think. I've already taken calc 3 and diff eq but sure act like i don't understand math when your "proof" is clearly wrong.
What I actually explained as my proof is that 0.999... does in fact equal one by proving that the infinite sum of 0.9 + 0.09 + 0.009... equals one. I'm not sure what you mean by I noted it wrong? I was not familiar with the term limit, though I'm not sure what the translation would be from English to French. Nor am I aware of any courses called precalculus, calc 3 or diff eq, as I'm not situated in America. Our courses are much simpler in name going by Math 10, Math 20, Math 30 and advanced math being Math 31. There are different levels of these as well, but those are by grade level with 10 being grade 10 and so on. I am currently taking Math 20, which is not normal for a grade 10 student to take but being in the international baccalaureate program allows me to take it early. Thus perhaps I'm in the same level of precalculus but for now I'm not sure. I'm not sure what you don't understand? I didn't prove that 0.9/0.9 = 1, although it is a true fact. I proved that the infinite sum of 0.9 + 0.09... does equal one which literally means 0.999... equals 1. Anyway back to the term limit. I do understand it now what that term would mean in French and basically limits would go with divergent sequences. 0.9 + 0.09... is not a divergent sequence. To figure out if a sequence is or isn't convergent, a limitless sequence, then you must discover what the ratio between each term is. Because 0.9=9/10 and so on with the decimals to fractions, we can divide the second term by the first to find the ratio. The ratio of this sequence as stated above is 1/10 or 0.1. A convergent sequence must have a ratio between -1 and 1. It's as easy as that. Would you like me to explain it to you in non sequence math? There are other proofs as well. Here's a website that might be able to help you fully understand: How Can 0.999... = 1?
I don't believe that's right. Pi is not the angle of a circle. A circle could have any angle in its 360 degrees. Could you explain perhaps what you mean?
limits exist mainly convergent series actually[( the series will converge to a certain limit, in this case 1) limits means approaches but not equals] which is what you have.... In calculus 2 you will learn about series, we use them alongside limits so that we can find areas under curves and to solve things that would otherwise be technical before the existence of calculators, we use limits because it IS impossible to know whats going on at inifinity. In order to deal with being unable to know 100% what is there, we use limits, this proof is abusing limits. the representation in the example is 1/3 which is not = .33333333... .3333 is not exact whereas 1/3 is exact. does that make sense?
