Question

Repost problem:
Compute

\[\lim_{n\to\infty}\frac{1}{\sqrt{n}}(1+\frac{1}{\sqrt{2}}+\cdots +\frac{1}{\sqrt{n}})\]

Answer 1

the limit of a geometric series eh....

Answer 2

hmm not quite ... :D

Answer 3

It's not a geometric series.

Answer 4

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

Answer 5

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.

Answer 6

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

Answer 7

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

Answer 8

Yup! :)