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Edited by NaLo:
11/6/2013 6:04:05 PM
3
It's -2,999... which is not negative infinity. It's just infinitely close to negative three.
However one could argue that -2.999... = -3
[quote][i]lim x→0+ [/i]
f(x)=(7/4)x - 3 = -3[/quote]
But the above statement only says that it approaches 3. It will never become -3 though.
And infinity doesn't necessarily hold all numbers. Here is an infinite non-repeating sequence using only two numbers for example. 101100111000...
English
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I guess thats what I don't understand. There are an infinite amount of numbers between -2.99999 and -3, so why wouldn't the answer be negative infinity?
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Edited by NaLo: 11/6/2013 6:16:19 PMBecause negative infinity is the smallest "number" there is. -2.999... isn't that small. It does have an infinite amount of decimals though but that doesn't mean it will get smaller to the point of negative infinity. The more decimals you add the closer you get to -3. In the same way pi gets bigger the more decimals you add but no matter how many decimals you add you will still have pi. You will never even reach 3.2 I think the problem is that you don't understand the concept of infinity. You are correct when you say that there are an infinite amount of numbers between -2.99999 and -3 but that doesn't mean that the value of one of those numbers is infinite.
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Ahhh, I understand what you are saying, thank you for clearing that up.
