Recent content by crshbr

Hah, that's great! And for part 2, would this be a correct proof for convergence: Assuming \left\{a_{n}\right\} is monotonic and decreasing \forall\epsilon \exists a_{N}\in\left\{a_{n}\right\} so that L+\epsilon>a_{N}>L L+\epsilon>a_{N}>a_{n}>L L+\epsilon>a_{n} so...

Not a lot you can do there really though :S All you end up with is: a_{0}^{2}+x>2a_{0}\sqrt{x} which is not necessarily true...seeing as how the inequality only holds up to the point where a_{0}^{2}>a_{0}\sqrt{x}

Hi, As a matter of fact I have already done that but I didn't get anything meaningful in my opinion. :( Here is what I did: \frac{1}{2}\left(a_{0}+\frac{x}{a_{0}}\right)\geq\sqrt{x} Let a_{0}=\sqrt{x}+y a_{1}=\frac{1}{2}\left(\frac{\left(\sqrt{x}+y\right)^{2}+x}{\sqrt{x}+y}\right)...

Hi there! Homework Statement Ok here is my problem concerning a sequence that is bounded and should have a limit. \Large x\geq0 and \Large a_{0}>\sqrt{x} The sequence \Large a_{n} is defined by \Large a_{n+1}=\frac{1}{2}(a_{n}+\frac{x}{a_{n}}) where \Large n\geq0 So the first question is...