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Epsilon - Delta Proof (constant function) 

Prime Newtons
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In this video, I showed how to use the precise definition of a limit to prove the limit of a constant function

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28 сен 2024

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Комментарии : 24   
@Misteribel
@Misteribel 7 месяцев назад
I wished they taught us the 'simple' stuff at secondary school as well. My teacher was more like "it's like that because it's defined like that". Thanks for fixing the gaps in the trains of my old teacher!
@JourneyThroughMath
@JourneyThroughMath 7 месяцев назад
Ive been telling my students lately "Sometimes the easiest examples are the hardest examples". Which sounds weird, but I show them problems at a certain difficulty and they become accustom to that difficulty. Anything harder OR easier, it seems harder for them.
@maarinahope
@maarinahope Месяц назад
at least you are being honest
@alexander8971
@alexander8971 7 месяцев назад
How would you show this to be true when f(x)=c and x is approaching a?
@shmuelzehavi4940
@shmuelzehavi4940 7 месяцев назад
Take this presentation, replace "4" with "c" and "3" with "a" and then you'll get the answer.
@bizoitz86
@bizoitz86 4 месяца назад
|f(x) - L| = |c-c| = 0 < |x-a| < delta = espilon
@nakyejwesarah4040
@nakyejwesarah4040 13 дней назад
Thnx bro
@goymath
@goymath 7 месяцев назад
Great! Please do a similar video on quadratic functions
@MariinaNuuyoma
@MariinaNuuyoma 3 месяца назад
You are definitely the goat
@mkhumbie5484
@mkhumbie5484 2 месяца назад
Great work thanks, my contribution will be that I would rather have proven the other way around. What do I mean? The "IF statement" is what's given so by 0
@Bembrand05
@Bembrand05 3 месяца назад
You are special ever but didn't get what you deserve, Hmmm, here is how the world treats ........ GREAT!!!
@anonakkor9503
@anonakkor9503 7 месяцев назад
3:25 Bro just this little part helped me so much😭😭😭 was confused about something but nothing I was doing this all the time…..
@supe-ns3gl
@supe-ns3gl Месяц назад
Yeah I never saw you divide a number by 0😂 I'm trying hard not to believe that
@amlalashhab1719
@amlalashhab1719 7 месяцев назад
شكرا على ما تقدمه اقدم لك تحياتي من ليبيا 🇱🇾
@glorrin
@glorrin 7 месяцев назад
This video is great I would like to see more for example a video where the proof doesnt work because there is no limit Can we use it to prove there is no limit ? also i was wondering if this was a proof of the limit or a proof that a function is continuous at this point... and then I realised it is the same thing.
@josephlorizzo8997
@josephlorizzo8997 7 месяцев назад
it's not the same thing, to be continuous in a certain point the function must be equal to its limit in that point, but It can even not be defined In that single point for the limit to exist
@kalwenyaNdiholovanhu-zy3td
@kalwenyaNdiholovanhu-zy3td 3 месяца назад
Very helpful
@davicamponogara4005
@davicamponogara4005 6 месяцев назад
You are amazing man, thank you so much
@PrimeNewtons
@PrimeNewtons 6 месяцев назад
Happy to help!
@KurstesTebqegn
@KurstesTebqegn 6 месяцев назад
How to prove by epsilon -Delta limit of X power of n =Y power of n. X approchs to Y
@odalesaylor
@odalesaylor 7 месяцев назад
When you need a delta for this, could you just assign delta to be epsilon or maybe epsilon divided by 2.
@shmuelzehavi4940
@shmuelzehavi4940 7 месяцев назад
Or to assign an arbitrary value (δ = 1) and show that the "ε" requirement is satisfied for any x which satisfies: 2 < x < 4 .
@kingbeauregard
@kingbeauregard 7 месяцев назад
I would cheat and rely on squeeze proof logic, and swap out "f(x) = 4" with "f(x) = x + 1". I am a big stinky cheater.
@PrimeNewtons
@PrimeNewtons 7 месяцев назад
😀😀😀😀
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