Re: limit of a sequence



On Jul 7, 5:05 pm, The Ghost In The Machine
<e...@xxxxxxxxxxxxxxxxxxxxxxx> wrote:
Not quite rigorous enough, as one can have

sum(n=1,+inf) 1/n = +inf
sum(n=1,+inf) 1/(2n-1) = pi/4

Careful with your examples. This second sum is infinite. (it is larger
than sum of 1/(2n), which is half the first sum)

.



Relevant Pages

  • RE: Combining two functions
    ... Careful with this formula! ... this returns FALSE if the sum is 0.8! ... No matter what the formula ... it should give a 1 if cell J is yes. ...
    (microsoft.public.excel.worksheet.functions)
  • Re: sum and for loop too slow...
    ... so you should be careful about what you do. ... You sum up 27*100000 times more or less the same, ... Ideally I'd like to get rid of the 'for' loops as these are taking ...
    (comp.soft-sys.matlab)
  • Re: limit of a sequence
    ... Careful with your examples. ... This second sum is infinite. ...
    (sci.math)
  • Re: .9999... = 1 proof
    ... > Tim wrote: ... > term of the sum is the sum of the n-th terms. ... Just somehat careful. ... absolutely convergent series, but diverge for many series that are not ...
    (sci.math)
  • Re: Best American Rock band ever?
    ... strongly suggest that the whole is much greater than the sum of the parts. ... Be careful, or next thing you will be called a fanboy and Bruce apologist who believes he can do no wrong. ... Everyone knows Bruce calls the E Streeters a band because he sold out and it is a way to make more money. ...
    (rec.music.artists.springsteen)

Quantcast