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## [Help-gsl] floating point question

 From: Gideon Simpson Subject: [Help-gsl] floating point question Date: Thu, 27 Dec 2007 23:20:37 -0500

This isn't about the GSL per se, but I thought someone might have a suggestion.

Suppose I have a function

f(x) = \log(1+x)/x


f is clearly well defined for x >0, and as we can see from calculus, the limit of f(x) and all of its derivatives exist as x ->0.


Now, here is the floating point/numerical analysis question. Is there a well defined algorithm for extending such a function to x=0? Clearly we do such a thing with sinc

sinc(x) = sin( \pi x)/(\pi x)

which is part of the GSL.


Is there a general algorithm that one could follow to write some code that would give a consistent implementation of such functions?


-gideon



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