Radicals and exponents question

  • #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 ?
 

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  • #2
Mentallic
Homework Helper
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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.
 

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