Hello,
Looking at which frequency l'Hôpital's rule is used, i'd like to know what is its real utility... D'you have examples where we HAVE to use it ? And can't use anything else ?
As a memento :
If , then :
the best example would be something like ...and knowing your style you will protest and say you need to just know its 1...but what if you didnt know that? you could do a rate of decreasing...but it is just much more in my opinion beautiful to say ...there your blatantly sardonic question is answered.
I'm French, so i have the circumflex on my keyboard
I didn't differentiate. I know a derivative of sin(x). This is the basic definition of a derivate number...Unless I looked at it wrong (which you know I do all the time ) you just differntiated and go the same result...
The only problem I see with that is you would have to say what you said over 1...because you applied l'hopitals rule except instead of doing f'(x) then evaluating at 0 you jsut went straight to ...but what if you were unsure if applying that method didnt yield another indeterminate form? and about the circumflex...
If i get an indeterminated form with it, i guess i would have one with l'Hôpital's rule too...but what if you were unsure if applying that method didnt yield another indeterminate form?
Don't you think that the definition of the derivate number came BEFORE l'Hôpital's rule ?because you applied l'hopitals rule except instead of doing f'(x) then evaluating at 0 you jsut went straight