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How to get to this limit?

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  1. Nov 7, 2016 #1
    1. The problem statement, all variables and given/known data
    Find the limes of the equation, so lim n ->

    2. Relevant equations
    m1.png


    3. The attempt at a solution
    I tried to solve this by using the third binomial formula and formed this to
    m2.png
    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. jcsd
  3. Nov 7, 2016 #2

    PeroK

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    Actually, you are nearly there. Just one or two small steps.
     
    Last edited: Nov 7, 2016
  4. Nov 7, 2016 #3
    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. :/
     
  5. Nov 7, 2016 #4

    PeroK

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