Define a sequence by
,
Prove that if , the sequence is increasing and bounded above.
My solution:
So, for all , ie the sequence is bounded above by 1.
We know that for all . So, and the sequence is increasing.
Define a sequence by
,
Prove that if , the sequence is increasing and bounded above.
My solution:
So, for all , ie the sequence is bounded above by 1.
We know that for all . So, and the sequence is increasing.