How do you do this?
1 Answer
See below:
Explanation:
The sequence is
Although it is rather clear from inspection that this sequence does not converge, a more formal proof can be given by several different approaches.
A more advanced approach would be to notice that the series has sub-sequences that converge to different limits (namely
A direct approach from the definition uses a proof by contradiction. We assume that a limit
Since
Similarly
Thus
Thus, we end up with