- #1

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## Homework Statement

Given:

[tex]f(n+1)=\frac{1}{2}(f(n)+\frac{9}{f(n)}[/tex]

Find lt n->(infinity) f(n)

## Homework Equations

## The Attempt at a Solution

No idea.

[tex]f(n+1)-f(n)=0.5(\frac{9}{f(n)} -f(n))[/tex]

Replacing n by 1/n, dividing by 1/n and taking limit 1/n->0 which becomes something similar to the f'(n) except 1 should be h. Even still, you can't apply L'hospitals here. I am totally lost.