Let be a sequence of real numbers such that for prove that the sequence converges.
My first thought was to show that was a Cauchy sequence but am having trouble doing so. Any ideas about what else I should try?
In my Real Analysis course we had the following problem on the exam:Originally Posted by maokid
Let be a sequence so that:
Prove that is a convergent sequence.
It is extremely similar to your problem. What Jhevon said is basically the solution, you should use Cauchy sequence.