Empathy (for the sane person) works in wonders.
Step on a cat’s tail, get pampered for days.
Cat smashing shit and leaving scratches everywhere, still get love and a comfy home.
One time, my sister stepped on the cat's paw and felt so guilty that she kept pampering the little rascal—who was still limping hours later, only it was with the wrong paw. Don't trust them; they can fake being hurt.
L'Hopital rule is calculating limits by calculating 2 derivatives.
But derivatives are limits themselves
so you are calculating 2 new limits to calculate the original one!
Now, where is sense in that?