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Add 1 Then Reciprocate and Fibonacci Numbers
11-16-2015, 02:39 AM
Post: #2
RE: Add 1 Then Reciprocate and Fibonacci Numbers
You can calculate the limes as the fixed point of the iteration:
\[
x=\frac{1}{x+1}
\]
This results in:
\[
x^2+x=1
\]
There are two solutions. One of them is attractive: \(\frac{\sqrt{5}-1}{2}\approx 0.61803\).

Cheers
Thomas
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RE: Add 1 Then Reciprocate and Fibonacci Numbers - Thomas Klemm - 11-16-2015 02:39 AM



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