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Johndcook
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Pressing the cosine key over and over
- No matter what number you start with, if you press the cos key on a calculator repeatedly, the numbers eventually quit changing.
- Starting with iteration 90, the code prints 0.7390851332151607 every time.
- The iteration converges for any starting point between 0 and 1.
- The rate of convergence is more like sin(p)k near the fixed point.
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