Waldek,

The lower bound limit should be taken from the right,

(3) ->  limit(Si(1/x), x=0,"right")

        %pi
   (3)  ---
         2
                      Type: Union(OrderedCompletion(Expression(Integer)),...)

No?

Bill.


On 15 August 2016 at 08:25, Waldek Hebisch <[email protected]> wrote:
> ...
> Nice example of missing feature.  We can compute
> indefinite integral:
>
> (1) -> integrate(x*sin(1/x), x)
>
>          2    1          1       1
>         x sin(-) + x cos(-) + Si(-)
>               x          x       x
>    (1)  ---------------------------
>                      2
>                                          Type: Union(Expression(Integer),...)
>
> but limit of Si term fails:
>
> (4) -> limit(Si(1/x), x=0)
>
>    (4)  "failed"
>                                                     Type: Union("failed",...)
>
> --
>                               Waldek Hebisch
>

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