### limit of sequence

given this sequence

i tried the following:

```
s,n = var('s,n')
s = sum((3*n)/sqrt(2*n^4-k^2*n^2), k, 1, n)
s.limit(n=Infinity)
```

but i get:

```
3*limit(n*sum(1/sqrt(-k^2*n^2 + 2*n^4), k, 1, n), n, +Infinity)
```

which is not the result i want, this sequence either diverges or converges, so its either a number or infinity/-infinity, any ideas how to make this work properly? or can sagemath not handle this type of limits?

thank you