I get

(2) -> limit(Si(1/x), x=0,"left")

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

i.e. the limit differs in sign when approaching from left or right.

On 15 August 2016 at 14:20, Waldek Hebisch <[email protected]> wrote:
> Bill Page wrote:
>>
>> 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)),...)
>
> Right.  But two sided limit is the same, why it fails?  And
> why definite integral fails?
>

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