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 ---------------------------------------------------------------------- Get a free email account with anti spam protection. http://www.bluebottle.com/tag/2