This is now https://trac.sagemath.org/ticket/27311

(this is my first ticket, I hope everything is OK).

On Sunday, 17 February 2019 12:28:47 UTC+1, Emmanuel Charpentier wrote:
>
> You are right. Did you file a ticket ?
>
> Le jeudi 14 février 2019 22:37:21 UTC+1, list...@gmail.com a écrit :
>>
>>
>> Hello.
>>
>> I have found the following bug in limit.
>>
>> ┌────────────────────────────────────────────────────────────────────┐
>>
>> │ SageMath version 8.6, Release Date: 2019-01-15                     │
>>
>> │ Using Python 2.7.15. Type "help()" for help.                       │
>>
>> └────────────────────────────────────────────────────────────────────┘
>>
>> sage: f=exp(-*2**x^*2*)-cos(*2**x);f
>>
>> -cos(2*x) + e^(-2*x^2)
>>
>> sage: g=x*(sin(x))^*3*;g
>>
>> x*sin(x)^3
>>
>> sage: lim(f/g,x=*0*) # this is wrong
>>
>> und
>>
>> sage: lim(f/g,x=*0*,dir='-'),lim(f/g,x=*0*,dir='+') # the second result 
>> is wrong
>>
>> (4/3, +Infinity)
>>
>> sage: taylor(f/g,x,*0*,*3*) # this is right
>>
>> -26/45*x^2 + 4/3
>>
>> sage: lim(f/x^*4*,x=*0*) # this is right too
>>
>> 4/3
>>
>> sage: 
>>
>> Any ideas?  Thanks in advance.
>>
>> Guillermo
>>
>

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