find or estimate the limit of the sequence

a1=.25, a2=(.5+a1)^2, a3=(.5+a2)^2,...,an+1=(.5+an)^2.

(If you think it does not have a limit, then prove it)

所有跟帖： 

• It does not have a limit or +00. -jinjing- ♀ (147 bytes) () 01/22/2011 postreply 07:36:29

• Agree; it's pretty easy to see -北京大老貓- ♀ (264 bytes) () 01/23/2011 postreply 11:14:13

• I think you are too careless and put 2 instead of 1/2....the ans -jinjing- ♀ (0 bytes) () 01/22/2011 postreply 11:54:07

• the answer=(1+3^.5)/2 -jinjing- ♀ (0 bytes) () 01/22/2011 postreply 11:57:34

• your are right. It is not a good problem. -yma16- ♂ (0 bytes) () 01/22/2011 postreply 14:17:05