Use induction to show that .
Hi, I'm having a little bit trouble applying the Monotone Sequence Theorem to this question:
Determine if the sequence defined by the recursive relation:
has a limit. Present your reasoning by using the Monotone Sequence Theorem.
Thanks a lot!
The difference equation that defines the sequence can be written as...
The function is represented here...
There is only one 'attractive fixed point' in and, because for any is , any will produce a sequence that converges monotonically at ...