Prove that if <a> converges, then every subsequence of <a> converges and has the same limit as a.

- May 3rd 2009, 10:12 PMqtpipiProve, if a sequence converges, its subsequences converge and have the same limit?
Prove that if <a> converges, then every subsequence of <a> converges and has the same limit as a.

- May 3rd 2009, 10:26 PMTheEmptySet
- May 3rd 2009, 11:15 PMqtpipi
- May 4th 2009, 06:53 AMTheEmptySet