Hi,

> An approximation to tanh(x) is a continued fraction
> x/1+ (x^2)/3+ (4x^2)/5+ (16x^2)/9+ ...

are you sure this is correct?
Another well-known formulation is x/(1+x^2/(3+x^2/(5+x^2/(7+.....
which works for me and converges quickly.
see http://nrich.maths.org/public/viewer.php?obj_id=1451

gr~~~


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