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When a limit exists, It is Unique - Proof

  Рет қаралды 24,178

Polar Pi

Polar Pi

Күн бұрын

Jesus Christ is NOT white. Jesus Christ CANNOT be white, it is a matter of biblical evidence. Jesus said don't image worship. Beyond this, images of white Jesus are not just blasphemous and criminal, white Jesus is from Satan ( the imposter.) Why? Let's look at what Satan does:
1) He is incredibly narcissistic and promotes himself shamelessly.
2) He misleads and confuses.
3) He pushes people away from Jesus Christ God, the Holy Trinity, the one and only messiah. White Jesus does all three of the above and more -- matching the ways of Satan.
Statues of Christ are equally offensive to God the Christ. While money is the biggest idol, Jesus spoke sufficiently against carved images.
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New content (not found on this channel) on many topics including complex analysis, test prep, etc can be found (+ regularly updated) on my website: polarpi.com
You can also find me on Tik Tok @reuslovesmath and @polarpiny
Here are more delta Epsilon Limit Videos including Introduction to and limit property proofs using delta Epsilon: • [Delta Epsilon Limits ...
In this video, I show you how to prove the uniqueness of a limit for functions.

Пікірлер: 60
@itstoogooditswaytoogood3211
@itstoogooditswaytoogood3211 3 жыл бұрын
this video feels like you are teaching me the plan for a bank heist
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Yeah you didn't show up with the getaway car!
@AlphaGamingWorld
@AlphaGamingWorld 3 жыл бұрын
Lol
@high_fly_bird
@high_fly_bird 3 жыл бұрын
Actually it is clearly explained though i can basically feel that you do not have enough air. Thank u very much, i'm in my first year of university in Saint-Petersburg and i really needed this.
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
I am a cyborg, I am not really human. I am half man half tank. You're very welcome! Glad it helped:)
@johanroypaul2816
@johanroypaul2816 3 жыл бұрын
Dear Polar Pi, How can we conclude that there is an epsilon which is greater than both f(x) -l as well as f(x)-m for different delta. δ1 and δ2. From the definition ?
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Because we are picking the minimum of delta 1 and delta 2 so that the sum of them adds up to epsilon since the minimum of the two of them is guaranteed to be less than epsilon over 2.
@MarkFingerboard1021
@MarkFingerboard1021 4 жыл бұрын
your suggested videos at the end completely cut off the end of the proof. You should post ads after you complete the proof...
@ChristGodinyouItrust
@ChristGodinyouItrust 4 жыл бұрын
I apologize, let me know if you still need it, I can take off the suggested videos!
@kiruvv
@kiruvv 8 ай бұрын
can i solve it with giving two limits epsilon/2 ? and thank you this was helpful!!
@sushilsoni9968
@sushilsoni9968 2 жыл бұрын
Thank you bhaiyya 🙏🙏🙏
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Cheers!
@andreajose3423
@andreajose3423 3 жыл бұрын
Why don't you have any subscribers ? Edit : I subscribed. Also, your vids are great but the shadows are kinda annoying.
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
I know, sorry about the shadows! Because the subscriber count is only for me!
@rawdhatul_fawaid
@rawdhatul_fawaid 3 жыл бұрын
I can absolutely realte to this desmonstration tnx a looot maaan !!!
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Ju welcome Ali
@ammarbamhdi
@ammarbamhdi 3 жыл бұрын
Hi there, Thanks for your helpful video. But I've got a small question, Why don't we stress Epsilon to be Epsilon sub1 and Epsilon sub2 as we did in the delta part?
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Because the choice of epsilon is dependent on the choice made for delta, so as soon as you have a smallest delta, you make one choice of epsilon!
@sebahattinsaral
@sebahattinsaral Жыл бұрын
video so good he had to do the intro twice
@johanroypaul2816
@johanroypaul2816 3 жыл бұрын
Dear Polar Pi , 1)How did you come to the idea of using law of contradiction to prove this? 2)Also why use the half of difference between l and m as your epsilon?
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
1) I didn't come up with this, this is a traditional proof discovered a long time ago. 2) It is typical to use epsilon/2 when you are dealing with 2 functions and epsilon/3 when you're using 3 functions etc. Epsilon is an arbitrarily small number so when you divide it by 2 it retains it's meaning. Let me know if you have more questions!
@ElonMust00
@ElonMust00 3 жыл бұрын
how did he predicted Covid 19
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Because I’m a prophet sent to earth from Jesus Christ my god, the only God!
@oscarliu4285
@oscarliu4285 11 ай бұрын
Very helpful, thanks a lot!!!
@kavishkagimhani9803
@kavishkagimhani9803 Жыл бұрын
clearly explained, thnks
@snorresrstrnen9391
@snorresrstrnen9391 4 жыл бұрын
Isnt it true for all x except x=a?
@ChristGodinyouItrust
@ChristGodinyouItrust 4 жыл бұрын
I dont understand your question! This is proving that a limit is unique!
@fernandoventilari839
@fernandoventilari839 4 жыл бұрын
He just forgot the detail about limit definition. The full definition says: x!=a or you can say: 0
@sushilsoni9968
@sushilsoni9968 2 жыл бұрын
You teach very well
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Cheers, thank you!
@madhuumitasaikia6892
@madhuumitasaikia6892 4 жыл бұрын
Why hide your face ?
@ChristGodinyouItrust
@ChristGodinyouItrust 4 жыл бұрын
Cause I am incredibly handsome and I don't want you to faint!
@nikhilpathania5108
@nikhilpathania5108 3 жыл бұрын
@@ChristGodinyouItrust 🤣😍😍
@thatdude_93
@thatdude_93 5 жыл бұрын
only in a topological hausdorff space though ;p
@ChristGodinyouItrust
@ChristGodinyouItrust 5 жыл бұрын
Lol, yeah. Glad you're still watching Max.
@tanmoyghosh7755
@tanmoyghosh7755 3 жыл бұрын
Thanks ..it helped me a lot
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Cheers!
@_priyesh_rawat_5032
@_priyesh_rawat_5032 3 жыл бұрын
Why you are hiding your identity?
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Cause i love my privacy. found this in spam for some reason!
@SreeramPeela
@SreeramPeela 2 жыл бұрын
at 7.03 why |l-m| = |l-f+f-m| became |l-m|
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Will get back to you this time next week!
@frankzhang1176
@frankzhang1176 2 жыл бұрын
what if approaches to infinite,how to prove
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Good question, I don't know tbh, cause infinity is not a number and there are different types of infinities.
@learngo2970
@learngo2970 4 жыл бұрын
Why hide your face
@janhartman2535
@janhartman2535 3 жыл бұрын
This proof is classified government information thus it is illegal to show it on youtube
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Cause I like privacy, Thank you, found this in spam!
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
LOL< awesome comment! Thank you, found this in spam!
@SakshiSharma-de5wh
@SakshiSharma-de5wh 4 жыл бұрын
nice
@ChristGodinyouItrust
@ChristGodinyouItrust 2 жыл бұрын
Thank you, found this in spam!
@nic_7130
@nic_7130 4 жыл бұрын
If Lt x-->a *f(x)* exists finitely, then prove that it is unique. If possible, suppose Lt x-->a *f(x)* = l & Lt x-->a *f(x)* =l' where l=l' Plz tell what going on in this question...
@livingwaters2762
@livingwaters2762 3 жыл бұрын
So why he hides his face?
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Cause, I don't want no body to see me.
@danielroman7699
@danielroman7699 3 жыл бұрын
@@ChristGodinyouItrust You look like Dick Harper in fun with Dick and Jane when he was robbing the guy that didn't want to hire him. XD XD Great video though.
@alikasim935
@alikasim935 3 жыл бұрын
awesome explantion u kind of lifted a burden from head
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
Awesome, what a great comment!
@alikasim935
@alikasim935 3 жыл бұрын
Can u please explain limx->0 sin(1/x)
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
@@alikasim935 I have a video on it, search for it!
@alikasim935
@alikasim935 3 жыл бұрын
Please sir do share the link..
@ChristGodinyouItrust
@ChristGodinyouItrust 3 жыл бұрын
@@alikasim935 Nevermind, actually, i have an integral about that but not a limit. The limit you ask doesn't exist. Because 1/x goes to infinity, and while sin(anything) is bounded between negative 1 and 1, it oscillates, it doesn't go to a specific value between -1 and 1. I hope this helps. Tell your friends about the channel.
@basavarajtilagul3937
@basavarajtilagul3937 3 жыл бұрын
😂
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