[Haskell-cafe] Re: Re: 0/0 > 1 == False
Kalman Noel
kalman.noel at bluebottle.com
Sat Jan 19 05:46:10 EST 2008
Ben Franksen wrote:
> Kalman Noel wrote:
> > (2) lim a_n = ∞
[...]
> > (2) means that the sequence does not converge, because you can
> > always find a value that is /larger/ than what you hoped might
> > be the limit.
>
> (2) usually rather mean that for each positive limit A there is a number N
> such that a_N > A for /all/ n > N.
You're right here. I tried to come up with a more wordy, informal description,
but failed on that.
> Your definition of (2) is usually termed as '(a_n) contains a subsequence
> that tends toward +infinity'.
May you elaborate? I don't see where a subsequence comes into play here.
Kalman
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