Hello,

I am looking at this recursion formula in my Calculus book.

x_n+1 = 1/2(x_n + 2/x_n)

It goes on to say that we can find the limit of this sequence by doing this:

L = 1/2(L + 2/L) fine

but now it says that this can be rewritten as L^2 = 2 and that the limit is the square root of 2. How?

Could someone please explain the last two steps? Thank you so much.