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0.9999999...=1.0

Name: Hump4us 2007-10-06 22:29

It's a fact. Deal with it, bitches.

Name: Pasis 2007-10-10 15:27

>>39

This is where one gets the meaning of sequences and series wrong. Let's just say I give you 0.888, I bet another form to put it is 0.8+0.08+0.008, no? It is a series where the ratio for each consecutive term is 0.1 and the sum of these three terms is 0.888. If I give you 0.929292, I can place it as 0.92+0.0092+0.000092, where the ratio is 0.01. Add them together, you get 0.929292. It is the same as 0.99999999999999.... where I can keep placing it as 0.9+0.09+0.009+0.0009+0.00009+... and henceforth until the number of terms reaches infinity and the geometric ratio of each consecutive term is 0.1.

e and Pi are both constants. They have a fixed value in which both of their values are not in a definite series. 3.1419... has no definite area where one can put a series into it because there is no definite pattern in the constant itself. It is a number as a whole. But I can place an easily definable value like 0.999 as 0.9+0.09+0.009. It is true when you sum the three terms all together, no? This will be true for 0.99999.... as 0.9+0.09+0.009+...

I guess one has yet to learn about geometric progression, yes?

>>40

I do not think one can put a decimal point 1 at infinite decimal's end. ._.

Seem logical, but it is wrong in my opinion. One cannot define a point in infinity, therefore no number could be placed there. Maybe an unknown, but not a number.

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