Show that a bounded sequence in R that does not converge has more than one subsequential limit. That is, show that a nonconvergent bounded sequence has two subsequences each with a different limit.

Printable View

- October 19th 2009, 10:06 AMJdg6057bounded sequences
Show that a bounded sequence in R that does not converge has more than one subsequential limit. That is, show that a nonconvergent bounded sequence has two subsequences each with a different limit.

- October 19th 2009, 02:59 PMarbolis