Use Binet's formula to show that . I know that Binet's formula is
So, when I substitute, I get down to
but I am not sure how to simpify this equation. I know that the answer is .
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That is the limit of as n approaches infinity. You can start by expanding the formula algebraically and taking terms common. At the end you will be left with proving that converges to 0 as n approaches infinity.
Notice that you can write as .
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