## watchmath 5 years ago Compute $\lim_{n\to\infty}\frac{1}{\sqrt{n}}(1+\frac{1}{\sqrt{2}}+\cdots +\frac{1}{\sqrt{n}})$

1. anonymous

I am not sure about this, but if you expand the bracket than every term will tend to 0 so there sum should tend to 0 too.

2. anonymous

1/sqrtn tends to 0, but the sum diverges on its own, so this is why I am not sure

3. watchmath