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I've found a lot of situations where #maxima and #sagemaths fail to compute indefinite limits
of functions involving trigonometric expressions as x tends to infinity.

f:(4*x^3+2*x^2*sin(x)+1)/(x+1)^2;
limit(f-x*4,x,inf); # should be ind

A work-around in Maxima is to force a ratsimp before the limit, but this doesn't work with SageMaths ...

I made a #bugreport but they are a lot of similar cases already reported :

https://sourceforge.net/p/maxima/bugs/4151/