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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for tan(sin(x)) i get 1.55709 and sin(tan(x)) i get 0.999906 .. not quite 1!
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