Re: Problems I have with 1.999...=2

stephen@xxxxxxxxxx wrote:

Kirby Cook <kwmcook@xxxxxxxxxxx> wrote:
: Problems I have with 1.999...=2

First problem, what do you mean by 1.999... ?

<snip>
I think of it as a sum or progression.

From the sci.math FAQ:

"In modern mathematics, the string of symbols "0.9999..." is
    understood to be a shorthand for "the infinite sum  9/10 + 9/100
    + 9/1000 + ...." This in turn is shorthand for "the limit of the
    sequence of real numbers 9/10, 9/10 + 9/100, 9/10 + 9/100 + 9/1000,
    ..."  Using the well-known epsilon-delta definition of limit, one
    can easily show that this limit is 1.  The statement that
    0.9999...  = 1 is simply an abbreviation of this fact.

The assertion that the sum is infinite means, to me, that there is no point where it will equal 1 and be, therefore, finished, and finite.

<snip> 
Learn some math.

Stephen 

DIS-missed.
.

Relevant Pages

  • Re: How to calculate a geometric ratio from a known sum of geometric progression to 23 terms 4408 an
    ... How to calculate a geometric ratio from a known sum of geometric ... Use the formula for the sum of a geometric progression; it has three parameters: the first term, the ratio and the number of terms; for the sequence ... University of Houston ...
    (sci.math.num-analysis)
  • Re: Spiral problem
    ... what formula or algorithm can give me the number at any position? ... The numbers directly below the one seem be the sum of an arithmetic ... progression. ...
    (sci.math)
  • Re: what math rule is this?
    ... it's called "sum of a geometric progression": ... Best regards, ... Jose Carlos Santos ...
    (sci.math)
  • Re: Sum of constant decrement
    ... w/o using SUMPRODUCT and using formula for sum of arithmetic ... progression you might use the following: ...
    (microsoft.public.excel.worksheet.functions)
  • Re: 3 value logic. Why is SQL so special?
    ... reasonably intelligent people why their queries returned the wrong answer? ... an example where missing information was involved. ... semantics for SUM. ...
    (comp.databases.theory)