We have:
![]() |
![]() |
|
![]() |
![]() |
|
![]() |
![]() |
|
![]() |
![]() |
Such a computation enables us to decide whether the sequence
is convergent or not. Here the sequence
is a geometric sequence whose ratio is equal to
, thus it is convergent and its limit is 0. By Thm 7.1, we conclude that
is convergent and its limit is equal to 12.
Noah Dana-Picard 2007-12-28