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## Homework Statement

A>0, B can be any number

## Homework Equations

To show that

lim(n->∞) (1/n)log[A((1+sqrt(5))/2)^n +B((1-sqrt(5))/2)^n] = (1+sqrt(5))/2

## The Attempt at a Solution

I used Lhopital's Rule to solve this and got

log((1+sqrt(5))/2)

So, I don't know what is wrong.

If you guys know how to prove this one, please let me know.

Thanks a lot