# How to get to this limit?

Tags:
1. Nov 7, 2016

### ingo23

1. The problem statement, all variables and given/known data
Find the limes of the equation, so lim n ->

2. Relevant equations

3. The attempt at a solution
I tried to solve this by using the third binomial formula and formed this to

I wanted to show that it's <= 1/n, but then I checked wolfram alpha and it seems like it actually conv. against sqrt(2), but how do I get there?

2. Nov 7, 2016

### PeroK

Actually, you are nearly there. Just one or two small steps.

Last edited: Nov 7, 2016
3. Nov 7, 2016

### ingo23

Thats good to know, but can you give me a pointer towars the right direction?
All I managed to do is pull the sqrt(4) out of the numerator, but I this doesn't relly help me since I can't see a way to get rid of the square roots in the denominator. :/

4. Nov 7, 2016

### PeroK

Why not divide top and bottom by $\sqrt{n}$?