Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Radicals and exponents question

  1. Nov 27, 2011 #1
    I have attached an image of my question because it was a bit difficult to type.

    Now, my question is :

    What is it's value upto infinity ?
     

    Attached Files:

  2. jcsd
  3. Nov 27, 2011 #2

    Mentallic

    User Avatar
    Homework Helper

    Why, it's the golden ratio of course! :approve:

    Let

    [tex]L=\sqrt{2+\sqrt{2+\sqrt{2+...}}}[/tex]

    Now can you see a way of writing out that infinite expression in terms of L in another way? Think about squaring both sides.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook