Hands down best proof on the internet. Thank you so much!

The most soluble and miscible proof and the smoothest of logical derivation for a simplified,yet atomic scale interpretation and visualization. Absolutely stupendous!!!

Thank you! I’ve had difficulty in understanding L’hopital’s rule, and your tutorial is a big step in the right direction.

Destiny helper indeed. thanks dear sir.

Superb Mr Newton. Never seen such simple proof like this. You are making calculus look like driving a car❤. God bless

You're very funny It helps relieve the tension and increase understanding I can rewatch and laugh while learning 😅

Short, sweet and effective. Many thanks. 😊

Just as I was trying to understand better L'hopital rule I found your proof, really helped me understand by using the definition of derivative with lim, tysm, wish you the best! :)

Amazing explantion! It helped me a lot to undertand the concept and solve my limits homework! Thank you so much and keep doing it!

Thanks sir , Ur teaching method is awesome

Thanks man i hope you get the views u deserve helped alot ❤️

thank you for making this the exact information i was looking for, ive watched like 10 different videos on this and they are all too complicated, too fast, or too long to get to the point, your video answered a lot of questions i had that nobody elses videos were covering

You are an excellent teacher. God bless you.

One of the best proof i have seen so far, Not even involved Mean value theorem here.

Oh my God, thank you so much! This video helped me understand the proof so much more easily! Thank you! Fantastic video!

Your teaching method is very good

The handwriting is perfect makes everything so clear

@PrimeNewtons

Жыл бұрын

Thanks

I believe in L'Hopital's rule, and I believe in your proof. I am still working on understanding why it makes sense in concept, and I'm almost there. If both numerator and denominator are racing toward infinity, the question is which one gets there faster. In other words, how do their derivatives compare. And since we're heading to infinity, any finite conditions (for example, a constant added to the top or bottom) cease to matter. I think my logic holds up. But when it's 0/0, my logic is a little flimsier. I feel like, if your function is approaching zero, then the reciprocal of your function is approaching infinity, so the same "infinity" logic might apply. But I haven't convinced myself that it's a valid argument.

@ZipplyZane

Жыл бұрын

I would suggest looking at 3blue1brown's video about L'Hospital's rule. He uses a lot of visuals to help you intuitively understand calculus concepts.

I always thought this was hard to prove, great explanation. Thanks for the video 👍

Beautifully explained. Thank you so much

really useful and not complicated , Thanks sir

Thank you so much for this video it has helped me so much, glad you made it :)

Wow. This was super easy to understand. Well done, sir!

Excellent explanation Sir. Thanks 👍

I love the proof. It is an ‘ if A, then B’ proof. You start with part of B and jump back to A and use that information to rewrite the expression. When the rewriting from A maths the writing of B, the proof is done. Thank you Doctor. The proof is simple and shiny. Looking forward to the next proof.

Very clear and emotional explanation😂, thank u so much!

Wow , a perfect lecture. Thank you.

This is the first time I am seeing the proof of L'Hospital rule. Thanks very much.

Thank you so much! Your video is so helpful!

A very nice explanation!

Very good explanation bro....your looking very cool best of luck

Very simple and brilliant proof.

YOU ARE REALLY GOOD SIR, THANKS

Such an elegant proof! 😮

It's SUPERB and really simplified..... thnnx

Clear explanations, easy to grasp ;)

What an elegant proof!

Thank you so much! this really helped me understand the rule and it's a really elegant proof, and in general your channel is incredible and I cannot believe you don't have more subscribers. However, I've heard that l'hopital's rule works in other cases besides 0/0 like for example infinity*infinity - have I been misinformed or is there some way to further derive other applications of the rule?

@PrimeNewtons

Жыл бұрын

Thank you. I hope some day the channels grows sufficiently. Yes it works for any of 'the seven deadly sins'. I have a video of all 7 forms. However, the function must be rewritten as a rational function to apply L"Hospital.

@christophvonpezold4699

Жыл бұрын

@@PrimeNewtons ah ok, good to know - I actually did watch your seven sins video, so what your saying is that basically all indeterminate forms in some way are derived from 0/0 and as such can have l’hopital’s rule applied to them if expressed as a quotient?

@PrimeNewtons

Жыл бұрын

Correct!

@PrimeNewtons

Жыл бұрын

@@christophvonpezold4699 Yes

Beautiful proof

Thank you! Awesome proof.

Fantastic video ❤️❤️

Nice to know that this is clearly from differentiation from first principle.

WOW 😳👏 definitely subscribing thanks a whole lot🙌

Tu es top mon cher Newton !

beautiful!

Yes. Thank you so much ❤️

Just LOVE IT! Thanks.

thank you sir _/\_ amazing explanation, i wassearching for this

Wow, this is super clear.

Math is beautiful! Thank you 🦋

Excellent Video!

@PrimeNewtons

8 ай бұрын

Thank you very much!

Thnk you.....have understood now

Beautiful

You absolutely blow my mind i was just do Differentiation and it makes for sence to see the formula to pop up like that.

Beautiful 🎉

A simple proof. Thank you

BEAUTIFUL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

thank you sooo much sir this video is helpful for me

Share a thought? This theorem requires a vivid demonstration for a memory-able understanding. May i suggest the following. Sketch -graph on board: Draw f(x) which is dome -shaped and going through zero at x=a. Also on the same graph, sketch the corresponding f' (x) ; of course with f ' (a)= zero. ..... then also draw th same for a carefully selected g(x).. discuss. what you see. ... Good luck, and have god time having such an enviable job.....suresh

Dear sir. Very Good evening. The explanation part is excellent. The spelling of the rule is to be corrected as I guess. It is L'HOPITAL'S RULE with a hat symbol over O.

@PrimeNewtons

Жыл бұрын

I've seen that spelling too. I suppose we do what we like these days.

@waltz251

6 ай бұрын

hello! he used to write his own name with an s. that ô replaced the silent s

Very helpful

thank you very much!!

I love you THIS HELPED ME SO MUCH 😊😊😊😊

@PrimeNewtons

Жыл бұрын

😘😘😘❤️💕💕💯😋🤣💜💙❤️😍❤️‍🔥

excellent👏👏👏👏

good explainations

Thank you mister

Powerful 🙏🏿👍🏾❤

🎉 Great 👍. Thank You. Regards.

amazing proof

The best explanation I've seen so far

Thank you for this explanation! Can you give us any function which needs another application of l'Hospital's rule ? And by the way your handwriting is nice !

@PrimeNewtons

Жыл бұрын

Thank you for your kind words. Another video coming later today.

Well done

"You cannot write zero over zero, any time, anywhere." YOU JUST DID

@PrimeNewtons

Жыл бұрын

Oh nooooo!🤣🤣🤣🤣🤣

Thank you!

@PrimeNewtons

2 ай бұрын

You're welcome!

That was great!

good vid man keep it up

Nice proof. 9:59 Aye. I've seen this before!

Thank you, sir 😊

@PrimeNewtons

Жыл бұрын

You're welcome!

Can't believe i lost 8 marks for such a simple proof😭😭

@thabomaleke874

Ай бұрын

Tshwarelo. Phephisa ngwana ntate.

thanks !

Thanks!

@PrimeNewtons

7 ай бұрын

Thank you!

The proof is as smart as your cap. That Bernoulli was one clever chap!😃

Excellent teacher please make a video to explain Rolle's theorem

@PrimeNewtons

Жыл бұрын

👍

@PrimeNewtons

Жыл бұрын

I apologize for the delay. I should make a video or Rolle's theorem soon.

Clean Hands ...perfect proof .

Alright, theres just one important caveat. What if lim x->a f/g is not indeterminate like 0/0? What if it’s defined like 5 or 6. You might think you can use l’hopital anyway. Well it turns out you cannot. The reason is very subtle. If the limit is not indeterminate, then the limit of f/g is the same as when you evaluate f/g at exactly a. We can write the ratio of the derivatives as lim x->a (f(x)-f(a)/g(x)-g(a) )(x-a)/(x-a). The reason that I’m doing this, is that when I evaluate x at a, we get 0/0. This means that we get an undefined result for when we evaluate defined limits. This is quite important to mention.

🔥🔥

Good, indeed.

Great video! But I miss some explanation about the limit ∞/∞. (and the rule of Hospital is that you go there, when you're ill. You use Hopital for math).

Nice proof! So, why did you put proof in quotes in the title of the video?

@PrimeNewtons

6 ай бұрын

Some would say it's not rigorous

@punditgi

6 ай бұрын

@@PrimeNewtons I do like the proof. Can you do another video with the rigorous proof? Also one that handles infinity / infinity and the other variations? You do such a magnificent job of presenting, sir! 😃

Legend

i love that

The only kind of small concern is that for the new limit to be equal to(f(a))'/(g(a))' it probably has yo assume that it is not an indefinite form,but again im not so sure if this is a problem

@PrimeNewtons

2 жыл бұрын

If it produces another indeterminate form, then L'Hospitals rule should be applied over and over until no such indeterminate form is produced.

I like your lesson,can you show us how to draw the graph of equation of asymptote

@PrimeNewtons

Жыл бұрын

Asymptote to what function? Email me a problem

Great proof! But I wonder what if f(a)=g(a)=∞? ∞/∞ is also a indeterminate.

@PrimeNewtons

3 ай бұрын

You do it again

I have one concern, how do you know that f and g are differentiable at x=a?

Now, this is the good stuff haha

Better proof and correct oroff involves MEAN VALUE THEOREM : f(x) = f'(x)(x-a), and g(x) =g'(x)(x-a) then a bit of simple algebra yields limit as x approaches a of f'(x)/g'(x) and not simply f'(x)/g'(x).

What about ±∞/∞ indeterminant form?? We need a proof for that too because L’Hôpital’s Rule also works for this indeterminant…

Well, this really helps understand the basics of lhospitals, but i got a doubt. In the proof, in the division by (x-a) should be possible. Since, if x tends to 0 , (x-a)=0. Idk, is it possible since its tending to a and not a. Please help solve this doubt.

A really amazing proof But what about the infinity by infinity form😕😕 Also I had a question Say the indertiminate form 1^♾️ For ex a lim g(x) ^f(x) Now say f(a) = 0/0 However it's f'(a) is infinity And g(a) is infinity Then should we apply the standard limit of 1^♾️ form

@PrimeNewtons

Жыл бұрын

Your question is interesting. Please email picture of the written question to me. primenewtons@gmail.com. Or just message me on Instagram.

@prithwishsen4710

Жыл бұрын

@@PrimeNewtons I don't have Instagram so I mailed it to you