Please see attached, Bounded Monotonic Convergence Theorem, Sequences
The part I am having trouble with is proving that the sequence is BOUNDED by some horizontal asymptote L...
Need to do this using principle of mathematical induction
You've shown that it's increasing already?
I don't think you NEED to prove that it's bounded. They tell you "assume Xn is in [1,5) for all n." Seems to me like they're giving you that part for free.
That is what I was thinking too
The "Showing that it is increasing", I know how to do, but the bounded part, that is what I was assuming as well
Well, as I read this problem, they aren't even asking you to show that it converges. They are just asking for increasing, which would be a part of the proof that it converges.
Life lesson: don't do more than you have to. haha
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