Finding $\lim_{n\rightarrow \infty}\frac{1+2^2+3^3+4^4+\cdots +n^n}{n^n}$ was closed as a duplicate of Computing $ \lim_{n\rightarrow \infty}\left(\frac{1^n+2^n+\cdots \cdots +n^n}{n^n}\right)$ which is a complete different question.

A correct duplicate target would be e.g. Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$. Perhaps someone with a golden badge in one of the categories can edit the duplicate target list. Alternatively we can reopen the question and then close it a duplicate again.

This and this are also duplicates of Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$.

@MartinR It looks like I might be partially responsible for that mistake. Sorry about that. Apparently @JoséCarlosSantos has the relevant golden badges to correct the mistake.

@ArnaudD. Done.

@JoséCarlosSantos Thank you !

Both this and this are the identical question as this one, but none of them had answers. I have now added a community wiki answer to the oldest thread, summarizing the existing comments on the question. If that CW answer gets an upvote then we can close the two other questions as duplicates.

@user21820 D9 is closed and community wiki. While the question is not entirely on topic, I am content to see it remain on the site in a closed, community wiki state. And it is, at least, more on topic than the Batman question.

@user21820 From what I've seen, there is a willingness to discard the OP's role (and even modify the context, and even at the moderator level) in creating/editing a post if it does improve the post. It's a bit too end-justifies-the-means for me to swallow, but I know how you feel. It might be something we have to get used to.

delete Not-an-answer

math.stackexchange.com/q/3369430/29335 I trust you'll know what to do