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@praneelbhatnagar2333
@praneelbhatnagar2333 14 күн бұрын
hello, where we get epsilon = 1/4 from?
@garytiner508
@garytiner508 13 күн бұрын
Basically, because 1/4 is the one-half the distance between the two possible function values (i.e., half of the distance between 1/2 and 1). We could have chosen any number for epsilon as long as 0 < epsilon < 1/4.
@praneelbhatnagar2333
@praneelbhatnagar2333 10 күн бұрын
@@garytiner508 hey thank you for your reply. I don't understand why we pick an epsilon between 0 and 1/4 whats the rule for picking and trick
@tyleroliveira2665
@tyleroliveira2665 17 күн бұрын
Loved the spline series ❤
@garytiner508
@garytiner508 13 күн бұрын
Thanks! 🙂
@Loots1
@Loots1 Ай бұрын
awesome professor
@garytiner508
@garytiner508 13 күн бұрын
Thanks a million! 🙂
@AK47_414
@AK47_414 2 ай бұрын
4:11
@Stefabro
@Stefabro 2 ай бұрын
great video series!
@garytiner508
@garytiner508 2 ай бұрын
Thank you very much! And best of luck to you....
@ChristianMarsh-o5z
@ChristianMarsh-o5z 2 ай бұрын
Unfortunately I am just going to copy your work onto my homework but fortunately I fully understand the entire proof. Thank you for explaining so well.
@garytiner508
@garytiner508 2 ай бұрын
Thanks for the message and your kind words! Best of luck in your class! 🙂
@loopwithyourfriends
@loopwithyourfriends 5 ай бұрын
super helpful series, thank you so much!
@ludwigvanbeethoven3970
@ludwigvanbeethoven3970 8 ай бұрын
these videos have been incredibly helpful
@yiokreverso
@yiokreverso 8 ай бұрын
If I have a more complex function, that F(x1) and F(x2)aren't numbers, like "lim x - > 2 of g(x) = { x^(2) if 0<x<2 , x+3 if x ≥ 2} isn't 4 " What can I do to resolve this??
@garytiner508
@garytiner508 13 күн бұрын
Sorry for incredibly slow reply. So the limit doesn't exist at x=2. Use epsilon =1/2 (or anything between 0 and 1/2). This is because 1/2 is one-half of the distance between lim x->2- f(x) = 4, and lim x->2+ f(x)=5. Then basically just follow my example.
@namupalaaunenyanyukwenindeuten
@namupalaaunenyanyukwenindeuten 8 ай бұрын
❤🔥🔥
@Hailee123
@Hailee123 10 ай бұрын
Thank you
@TaharProd
@TaharProd Жыл бұрын
what a goat
@TaharProd
@TaharProd Жыл бұрын
thanks a lot
@TaharProd
@TaharProd Жыл бұрын
this is awesome
@RishitSrivastava007
@RishitSrivastava007 Жыл бұрын
Shouldnt S have f(a)+f(b)?
@thatsme6998
@thatsme6998 Жыл бұрын
thank you gary super helpfull
@amritasarki5417
@amritasarki5417 Жыл бұрын
I love you😊
@justinwilliam5693
@justinwilliam5693 Жыл бұрын
Thank you for explaining this. Very helpful, unfortunately my professor did not take the time to explain this despite giving homework on it. The book skips over a lot of steps and background info as well.
@sadececansu9
@sadececansu9 Жыл бұрын
Thanks a lot for this clear explanation😇😇😁
@Rezhna_A
@Rezhna_A Жыл бұрын
thanks
@kavinkumart1276
@kavinkumart1276 Жыл бұрын
For this sum for 3 point rule what answer sir??
@ashenafidejene9512
@ashenafidejene9512 2 жыл бұрын
great work , it is simple and clear
@garytiner508
@garytiner508 2 жыл бұрын
Thank you for your nice comment!
@BalaAso291
@BalaAso291 2 жыл бұрын
Nice lecture
@garytiner508
@garytiner508 2 жыл бұрын
Thank you, Bala!
@jameyatesmauriat6116
@jameyatesmauriat6116 2 жыл бұрын
Hi, thank you for your explanation. I really struggle to understand this analysis, are there anything that makes me understand it deeply?
@karenwillert6350
@karenwillert6350 3 жыл бұрын
You just said everything I needed to hear so simply and succinctly--Thank you!
@udithweerasinghe6402
@udithweerasinghe6402 3 жыл бұрын
🤩
@jayjoshi3420
@jayjoshi3420 3 жыл бұрын
thank you
@algorithmo134
@algorithmo134 3 жыл бұрын
Sir can you make inverse function thereoem
@slandrix5240
@slandrix5240 3 жыл бұрын
One question, how do you know what epsilon to pick? Is it just for convenience?
@jacobguerreso675
@jacobguerreso675 3 жыл бұрын
Same question. Everything else makes perfect sense. Trying understand why epsilon equals greater than |f(x1)-L| wouldn’t work
@jacobbarats1493
@jacobbarats1493 3 жыл бұрын
Pretend that you didn't know it was 1/2 at the beginning. We just need to make the formula work for some epsilon, so at the end when we see that |...| + |...| > 1 when know that one of those terms is greater than 1/2 which we then let be the epsilon
@jesusdanielmiguelcova2360
@jesusdanielmiguelcova2360 2 жыл бұрын
Same question everything else is perfect
@gustavstreicher4867
@gustavstreicher4867 3 ай бұрын
The size of the jump discontinuity is 1/2. The halfway point between those two is your best average guess of what the limit could have been if it existed. So, the distance between that best guess and either of the actual values on the disconnected curves in the function is 1/4. Like others stated here, you could leave your choice of epsilon to the end. You just need to find a single choice of epsilon for which the rest is true to disprove the limit. So, choose whichever makes that the case for what you've worked out despite it.
@adesina1
@adesina1 3 жыл бұрын
Thanks sir
@360mathematics6
@360mathematics6 3 жыл бұрын
Very nice explanation
@soheil9255
@soheil9255 3 жыл бұрын
That was great . Thanks a lot .
@NotDead10008
@NotDead10008 3 жыл бұрын
What is S?
@garytiner508
@garytiner508 3 жыл бұрын
It is the area of a collection of trapezoids that (together) "resemble" the area under the graph of f.
@anuj8855
@anuj8855 4 жыл бұрын
Thanks a lot sir you clear my very deep doubt 🙏🙏🙏🙏🙏🙏
@filiperodrigues1452
@filiperodrigues1452 4 жыл бұрын
Thanks for making your class videos public! It helped me for my Uni class. Cheers from Canada!
@garytiner508
@garytiner508 4 жыл бұрын
Cheers, and no problem at all. Thanks for the nice comment, Filipe!
@thomasturner784
@thomasturner784 4 жыл бұрын
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@micahjack3599
@micahjack3599 4 жыл бұрын
thanks for making this video man
@garytiner508
@garytiner508 4 жыл бұрын
Thank you for watching! I just subscribed to you... Blessings to you, and your family.
@upfront_silver0136
@upfront_silver0136 4 жыл бұрын
Hi Gary thx for the math
@garytiner508
@garytiner508 4 жыл бұрын
Any time! Thanks for the comment, James!
@upfront_silver0136
@upfront_silver0136 4 жыл бұрын
No problem
@mahajawad4041
@mahajawad4041 4 жыл бұрын
it is very clear, thank you
@mahajawad4041
@mahajawad4041 4 жыл бұрын
thank you
@garytiner508
@garytiner508 4 жыл бұрын
:-)
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@ronaldtaylor7200 4 жыл бұрын
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@christophernelson7571 4 жыл бұрын
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@johncollins2385 4 жыл бұрын
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@markwilson3764 4 жыл бұрын
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@stevenlee3410 4 жыл бұрын
0:35 crazygirls24.com
@williamharris204
@williamharris204 4 жыл бұрын
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@kevinmartin5814 4 жыл бұрын
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@charlesparker2983 4 жыл бұрын
0:34 hot-girls18.com
@zaytoonalkhatoony2028
@zaytoonalkhatoony2028 4 жыл бұрын
Thank you so much for the video I know it might be strange but your videos really benefit me and my friends we hope you continue and it seems like you are following your passion therefore i want to say that i consider my self your student from the United arab emirates we hope you continue and never stop because remember you never know who you might help and how many future engeneries or mathematicians benefit from your videos and you may be a reason that our world change and evolve.
@garytiner508
@garytiner508 4 жыл бұрын
Well, thank you, Zaytoon. I'm very happy that you benefit from my videos. Thanks for your encouragement!
@kuki6101
@kuki6101 4 жыл бұрын
0:40 sweety-girls.com