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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- September 28th 2010, 12:06 PMtarheelbornBinet's formula
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

. - September 28th 2010, 01:13 PMTraveller
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 .