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i've said it before, what's with people taking the limit of an infinite function and assuming they have anything other than an approximation?

hi i'm going to LIMIT my function to 10 decimal places!

.999999999 = 1

wow this statement is FALSE

If you don't even know what a limit is and are unwilling to learn, then neither you nor the people you're talking to have anything to gain from an exchange of words with you.

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I don't think that really addresses whether it's sufficiently well defined or not, but I'm more curious to see if you have comment regarding the remainder of that post:

The one in your expansion is not actually in your expansion. Your notation does not make sense.

As for the remainder of your post, no assumption about whether or not 0.99.. is rational is made in the calculation. Multiplication by 10 works the same way whether your number is rational or irrational. Though as it turns out, 0.99... IS rational so the point is moot anyway.

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hello mister limit

hi?

Infinite summations, when they exist, are limits.