I am trying to do some Newton's method-type stuff in Mathematica.(adsbygoogle = window.adsbygoogle || []).push({});

I want to build a While loop that does the following:

- Take input r.

- Compute some quantity f(r).

-Update the value of r to f(r).

- Repeat until |g(r)| < C for some fixed constant C.

The third (boldfaced) step is the one I'm having trouble with. I don't know how to do this. Can someone help?

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# While loops in Mathematica

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