If the derivative of f(x) exists for all numbers of the integer N, and f(x) approaches 0 when x approaches infinity, does the derivative also approach 0? Also, is there a rule or law that states this?
I know this very closely relates to l'hospital but doesn't quite fit
Nvm, lhopital rule on f (x)/x derives to f'(x)/1. So I guess f'(x) approaches 0 for any function with a growth slower than f (x)=x?
>>7943869
What a lhopital rule?
I know what L'Hôpital's rule is, though.
>>7944973
> being this pendantic
He was just some old faggot who messed with numbers. I don't see why we idolize all these mathmatecians and scientists when science is supposedly above all that.
>>7944973
don't you mean the Guillaume François Antoine Marquis de l'Hôpital rule?
