Consider the function 𝑓(𝑥) = sin(tan(𝑥)) What happens if we continually iterate 𝑓 on itself? That is, 𝑓⁽⁰⁾(𝑥)=𝑓(𝑥) , 𝑓⁽¹⁾(𝑥)=𝑓(𝑓(𝑥)) .. This sequence actually converges to a constant! (but don't hold your breath .. it converges verrry slow)pic.twitter.com/xRpW1FBuXN
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Wait who are these numbers you're listing?
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the asymptotic values of |f(f(f .. )))|
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Ooooo I think you just find when |f'(x*)| < 1 right?
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something like that .. i honestly don't know enough about contraction mappings
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