# Cannot compute limit of sum(log(k),k,1,n)/(n*log(n))

Sage can compute this limit

```
limit(sum(log(k), k, 1, n) / (n * log(n)), n=infinity) # 1
```

but not this one?

```
limit(sum(k*log(k), k, 1, n), n=infinity)
```

Same with `k*(log(k))^2`

. Any hint?