On Jan 3, 2009, at 4:10 PM, calcp...@aol.com wrote:

> sage: plot(x^2*log(x,2)-1, 0,2)
> [nice plot so you can understand what is going on]
>
> sage: find_root(x^2*log(x,2)-1,1, 2)
> 1.4142135623730951
> <<
>
> Hi, I'm trying out SAGE for the first time, so I entered what you
> suggested (see above).
>
> Now, from the plot, it there seems to be no other roots between 0  
> and 2
> so I entered
>
>
> sage: find_root(x^2*log(x,2)-1,0, 2)
> and got the root = 0.0
>
> what am I missing here?

This function is not defined at the left endpoint, so you are  
probably violating some assumption on the underlying optimization  
algorithm used. However, I would much rather have an error here than  
an incorrect value.

- Robert


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