tonio,
in the original question we had to compute a limit who looked something like this: (n)/(sum of something). in your solution you took the opposite, (some of something/n).
Could you clarify please ?
This is the generalization I talked about in my post: you figure this (easy) one out and deduce your limit is zero
In addition, may I ask for more detailed solution for question number 2.
Look at the geometric mean sequence that follows from the one in my post. You can also try to google "arithmetic and geometric means limits". For example, look at Limit of arithmetic mean , or here
More Challenging Limits ( the second one contains proofs of both theorems I quote)
Tonio
Thank you for the help.