Let's see :
sage: h(x)=(x^2+x+2)/(x-4)
sage: h.parent()
Callable function ring with argument x
sage: limit(h,x=4,dir="right").parent()
Callable function ring with argument x
sage: h(x).parent()
Symbolic Ring
sage: limit(h(x),x=4,dir="right").parent()
Symbolic Ring
sage: limit(h(x),x=4,dir="right")
+Infinity

Is that clearer ?

HTH,


Le lundi 13 mai 2019 09:39:57 UTC+2, Greg1950 a écrit :
>
> I am using SageMath version 8.7, Release Date 2019-03-23, within a Jupyter 
> notebook.  My operating system is Windows 10.
>
> I know some elementary Python programming, but am certainly not an 
> expert.  I am essentially a newbie to SageMath. 
>
> I defined, as per the S.D.S.U. Sage Tutorial, a function
>
> h(x) = (x^2 + x - 2)/(x - 4)
>>
>
> Upon asking SageMath 8.7 to compute
>
> limit(h, x = 4, dir="right")
>>
>
> I received as answer
>
> x |--> Infinity
>>
>
> While the value of the (right-hand) limit is indeed Infinity, the " x |--> " 
> which precedes it in the "Out" cell suggests that the *argument* x of the 
> function h is approaching Infinity, while in fact it is the *value* h(x) 
> of the function which is doing so.  The argument x itself is approaching 4 
> from the right.
>
> So the *form* of the answer is misleading.  It would be better if the 
> answer appeared simply as
>
> Infinity
>>
>
> The answers to other limit calculations appear similarly to the above 
> example and may be similarly criticized. 
>

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