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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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**[Help-gsl] floating point question**,
*Gideon Simpson* **<=**