Newbie question about limit

Hi.

I'm learning maxima and I'm trying to compute the limit of a series.

So I define my series like this :

s(n):= sum(1/k,k,1,n);

And then I try to compute it's limit at inf

limit(s(n),n,inf);

But all maxima does is print the expression in sigma notation and it does
not compute the answer.

I tried with some integer (like 3) instead of inf and I get the same result;
Maxima does't compute the answer.

Why is that?