Why this is an underrated channel! Her teaching is really amazing.
@stephenjohson62054 ай бұрын
Thanks for the video but regarding the last step isn't your multiplying the limits of two functions while the assumption which the they must exist and finite is violated
@audreyteachesmath83173 ай бұрын
It's actually really only a problem if separating would result in an indeterminate form. You should have also learned that, if one results in infinity and the other results in a non-zero constant, then the result is infinite (either positive or negative). It's a really simple jump from there to show that, if both are infinite, the result will also be infinite. :-)
@dracodormiens2464 ай бұрын
Thank you for the video.
@kamrulhassan71575 ай бұрын
Great 👍
@shayansa68655 ай бұрын
Clear explanation!
@SewerShorts6 ай бұрын
w audrey w teacher L math
@SewerShorts6 ай бұрын
coming back to this vid for the final 🥲
@rufinebonny96736 ай бұрын
you're amazing !
@simonmajzel34107 ай бұрын
Great, thanks for your help .}
@nikolastamenkovic706910 ай бұрын
Really good explanation
@rusesaboyrusizi85509 ай бұрын
@rusesaboyrusizi8550 0 seconds ago i hope that the answer is false because the direction vector is (2,-3) and the normal vector is (3 ,2 ) she did it opposit
@rdtravelsports613211 ай бұрын
great
@jad67811 ай бұрын
thank you very much , hidden gem of a channel!
@audreyteachesmath83177 ай бұрын
Thank you!!
@catfunt3404 Жыл бұрын
This was so good
@krovely8649 Жыл бұрын
thank you for the informative video!
@guillaumelevrey1395 Жыл бұрын
Banger 🔥🔥🔥
@enida3298 Жыл бұрын
how can we apply the sqeeze theorem to this: [(-1)^n*arctg(√n)]/n^3
@audreyteachesmath8317 Жыл бұрын
Is this an alternating sequence? If so, look at the positive part. Then bound -pi/2<arctan(sqrt(n))<pi/2 thus (-pi/2)/n^2<arctan(sqrt(n))/n^2<(pi/2)/n^3, and each of those things clearly approaches 0
@leobardovalera Жыл бұрын
I am new in WebWork (Professor), and I am trying to do a simple graph. I real line with some coordinates. I would like to students identify the coordinates. As simple as that. I always find ways to plot lines or parabolas, but just this simple, I have not find it.
@moviebeu Жыл бұрын
really good explanation on perpendicular lines, thanks alot.
@audreyteachesmath8317 Жыл бұрын
Glad it was helpful!
@sarag.regassa7947 Жыл бұрын
Thank you so much!
@yirmiyahu7265 Жыл бұрын
Thanks
@sebs1782 жыл бұрын
ty
@kanishkaaswani75162 жыл бұрын
thankyou so much!
@yahyejimale62922 жыл бұрын
this helped!
@wunderburst64442 жыл бұрын
Thank you very much
@SM-sd3vf2 жыл бұрын
Your videos are beyond helpful and amazing. Ive spent many hours on KZbin for this particular section and there are no videos that are as helpful or well explained as this. So glad to have found your channel!!!! Thank you!
@audreyteachesmath83172 жыл бұрын
I'm so glad you found it helpful!
@thehardlife55882 жыл бұрын
The proof shows its converges from above, but what if we have a negative series and it diverges to negative infinity?
@audreyteachesmath83172 жыл бұрын
Actually, it just shows that it converges period, without giving an upper bound or a lower bound. We showed that it is the sum (or in this case the difference) of two convergent series. And the sum of two convergent series will always converge. In this case, we were looking at an alternating series. But let's assume we were looking at a divergent negative series (for which each term is negative). It's actually a bit easier to think about, because then the only thing the absolute values would do is change that negative infinity into a positive infinity. And therefore the series wouldn't be absolutely convergent. If the negative series converges to, let's say, -L, then the absolute values would just make it positive, so the series of absolute values would converge to +L. Hopefully that helps a bit.
@thehardlife55882 жыл бұрын
@@audreyteachesmath8317 yes thank you very much
@BorcoveLP2 жыл бұрын
wow.. thank you, this is what i needed
@audreyteachesmath83172 жыл бұрын
Glad it helped!
@mariyakalcheva3559 Жыл бұрын
@@audreyteachesmath8317 isn’t it plus 12 and not plus 4 at 3:13? cause we are multiplying everything by 3?
@audreyteachesmath8317 Жыл бұрын
@@mariyakalcheva3559 Yes, it should be 12. it's mentioned in the comments as a correction 🙂
@rusesaboyrusizi85509 ай бұрын
i hope that the answer is false because the direction vector is (2,-3) and the normal vector is (3 ,2 ) she did it opposite@@audreyteachesmath8317
@rusesaboyrusizi85509 ай бұрын
@rusesaboyrusizi8550 0 seconds ago i hope that the answer is false because the direction vector is (2,-3) and the normal vector is (3 ,2 ) she did it opposit@@mariyakalcheva3559
@audreyteachesmath83172 жыл бұрын
correction: this sum should have been from k=2 to infinity, not k=1 to infinity
@markj42262 жыл бұрын
awesome video... not sure why you don't have a million views.
@audreyteachesmath83172 жыл бұрын
aw, thanks!
@fatalframe30492 жыл бұрын
Great class, thank you.
@audreyteachesmath83172 жыл бұрын
Glad you enjoyed it!
@brizmus82 жыл бұрын
Hello me!
@brizmus82 жыл бұрын
Hello me!!
@iam55662 жыл бұрын
Thank you so much, I was struggling to understand this concept You made it seem so simple <3
@audreyteachesmath83172 жыл бұрын
Glad it helped!
@ehsanben35843 жыл бұрын
thank you💜
@catfish79823 жыл бұрын
Hello teacher, how can I write natural numbers as a range?
@mayzz973 жыл бұрын
Very useful thank you!
@harnooraujla93013 жыл бұрын
This really helped me, super clear and easy. thank you so much!
@TajjCreative4 жыл бұрын
Very Very Very nice You are good teaching very great Best wishes
@jomanjijomanji50864 жыл бұрын
Thank you very much I love your explain so much, I am from Iraq, I have some questions miss , this formula can use for all ruselt of covid-19 in each country , why you don't use the solution formula of logistics growth directly why you solve it .
@audreyteachesmath83174 жыл бұрын
I don't use the formula because largely the point of this video was to talk about the math that goes in to solving it, to show how that solution works. :-)
@jomanjijomanji50864 жыл бұрын
Thanks for your response, another Q , can I used formal directly, how can I deal with data in casses of coronavirus table if I want used logistics growth