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

1. amistre64

the limit of a geometric series eh....

2. watchmath

hmm not quite ... :D

3. anonymous

It's not a geometric series.

4. amistre64

i was close tho lol just started reading up on these things :)

5. anonymous

I'll give you a hint and you can tell me if you want more info (I'll check back later). Hint: Think of it as an expression of a Riemann sum, try to figure out which one.

6. anonymous

By the way, the limit is 2. Not that the actual limit really matters....

7. watchmath

Ok, $$2\cdot x^{1/2}\mid_0^1=2$$. Thanks :D.

8. anonymous

Yup! :)