Let , a sequence { } is defined:

(1) For which values of c the sequence gets lower, higher or does not change?

(2) Is there a limit in each case? Find it.

Okay, in the first case it's easy, because then for every n, and of course the limit is c.

Only I found some weird expressions for c depending on a:

I found that when: , which I don't know how to turn it into a 'nicer' expression of c.

That's before trying to find the limit of them...

Thank you very much!