On Monday, August 19, 2013 1:55:04 PM UTC-4, Vince wrote:
>
> When computing the limit of a function I don't quite seem to be getting 
> the behaviour that I expected.
>
> ---
> sage: f(x) = 1 / x
> sage: print f.limit(x=0)
> sage: print f.limit(x=0, dir='minus')
> ---
>
> The first limit returns infinity, but I would expect it to return that the 
> limit is not defined. 
>

I think we have an unsigned infinity and a signed infinity.  It should 
return the former, from Maxima.


 

> The second (directional) limit confirms this (it returns -infinity). I was 
> assuming that the default 'direction' for a limit is None and that a two 
> directional limit would be computed (which in this case does not exist). 
> Here's some of the help file that shows why I am perhaps confused:
>
> ---
> INPUT:
>  
> - ``dir`` - (default: None); dir may have the value
>   'plus' (or '+' or 'right') for a limit from above,
>   'minus' (or '-' or 'left') for a limit from below, or may be omitted
>   (implying a two-sided limit is to be computed).
> ---
>
> If anyone could clarify this I'd appreciate it.
>
> Vince
>

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