limit needs some batteries?

miguel lopez <miguel39123 <at> hotmail.com> writes:


 
>   Tracing:
> limit(sin(sin(sin(x)^1000)^4)/x^4000,x,0):
>  try
> 
>   sin(sin(sin(x)^1000)^4 = sin(sin(x)^1000)^4  
>      limit(x^4000/x^4000,x,0) = 1, o.k.



 This is a more elaborate example:

 Tracing:

  lim( (1-cos(x))^10 * sin(x^300)^700 * ln(1+x^2)^300 / tg(x^200)^500 = 

  (-x^2/2)^10 * x^(300*700) * x^(2*300) / x^(200*500) = ...

  
   1 - cos(x) = x^2/2 success 


    sin(x^300) = x^300 success 
      
 etc. About 4 iterations.

-m