THANK YOU! My instructor didn't even touch on the Delta Epsilon definition in class and it comprises of half our homework. After watching nearly 5 videos, this was the first video that made finding Delta make sense!
Thank you so much for making this video! My Calculus professor admitted that he gave up on teaching this concept, yet we're still being tested on it. This short video makes more sense than his 90 minute lectures ever did. Thanks for saving my grade!
You are amazing. My instructor moves a million miles per hour without explaining anything. The breakdown of the math and more importantly the concept was clear and easy to understand. Keep doing what you are doing! Thanks for all the help and I will definitely be back :)
It is astounding how simple this is when it explained without the "professor filter." Thank you for using simple language and turning this mountain back into a mole hill.
I was actually a psychology major. Strange I know. But I was a calculus tutor all four years in college and loved it. :) Sometimes I would struggle with various math subjects, but since I enjoyed it, I would always welcome the challenge. :)
Just as I was about to give up! Thank you for actually doing a relevant example. I cannot tell you how many examples like this are oversimplified or waaay too complicated.You're amazing! :D
your videos are always so helpful. I wish professors talked like you. I can't understand why they find it impossible to teach like a normal person instead of like a walking/talking textbook.
Honestly it's so stupid how they talk sometimes. A lot of my professors are great but you can just tell that some of them are only in it for the money and couldn't care less about the class.
Thank you! As others said, you just summed up a 50 minute lecture and made it clear to me. I spent that whole class with a blank look, but now it makes sense!
You actually saved me by explaining this concept. All my classes are online so its hard to ask questions and you did an excellent job. I've never been more grateful.
I was never taught this, and I was a math minor. I'm glad I got interested again all these ten years later and found it. I'm surprised this was skipped, because the way you explained it made it simple. thanks :)
Thank you so much! You explain things very well and at a great pace. Your visuals helped break down the problem well and helped me see what you were talking about. I've subscribed and I hope you keep posting!
i had the exact same problem. i didn't catch that part while reading the instruction in the book and your comment just solved a 20 minute long mystery. thanks!
While trying to understand my calculus homework, I actually came across the exact same problem that you worked. Your explanation was very thorough and I feel like I have a much better grasp on epsilon-delta problems. Thanks so much!
This video may be old, but it was the only video on TH-cam to help me complete a pre-class quiz (we teach ourselves a concept before class) and I didn't get it before now. Thank you.
You write very neat. My math professor writes like he is a serial killer, I could hardly tell what his writing says at points. Thank you. You helped me understand this concept much more.
You are the blessings of almighty God for the struggling students who watch your videos and learn. You are heaven-sent. I can never thank you enough. I can just pray for your happiness, prosperity, good health and long life. You are the best! God bless you.
You are wonderful. You explain things at just the right pace for me to listen and understand as you work through problems. Your videos have helped me so much, THANK YOU!
as a college student who struggles with math, i come back to this video all the time and it’s SO helpful for understanding problems after a long day of my brain being rattled!!
Please do many more epsilon delta, M, N & other proofs similar to this one. Please keep in mind wide variety of audience not just the top percentiles. You did a fabulous job doing this one without a doubt.
I have been wondering why I could take the distance between the right endpoint and x for linear functions, but not for radical functions. 3:03-4:06 everything became so clear after i watched this part. Thank you!
Thanks a lot for this great video pretty lady! Its been years since you made this video and I am sure you will never see this comment, but I have no doubt to this day you are still a great teacher and if not more so, just as beautiful.
Dang, this video helped me with the curve concept, I was having problem understanding the difference with the linear and curve absalons. I don't know why I couldn't understand when the teacher was teaching us this. But, learning this way made more sense.
Thank you so much! This is actually the exact problem I was stuck on, which doesn't really matter, because what matters most to me is that I'm finally beginning to understand this concept after about 6 weeks 😄
Life saver. I had it bad as my first time doing this was in Real Analysis (My 3rd semester in college). Now that I have to tutor it, it still remains sketchy...
I kept trying to force 'a' to be equidistant from the limit of delta... now that I know that delta is simply the smaller of the two from the given alpha to the limit set by epsilon... thanks a bunch.
So at 6:17, If you had discontinuity such that the lim from the left and the right were different, but were still within + or - 1.44 = delta of each other in the direction of x, and were within + or - 0.4 = epsilon of each other in the y direction, despite having different left and right hand limits, wouldn't this limit still exist? Just visually, you could break that orange line and move it such that from the left y = 1.8, say, and from the right y = 2.2, at the point x=4, right? What's to stop me from doing that? There must be some requirement that we are forced to check to see if it works for infinitely small epsilon otherwise it makes no sense. Otherwise I could just pick an infinitely large epsilon and prove that everything is a limit regardless. It seems pointless to choose any epsilon greater than infinitely close to 0; it just doesn't make any sense because any epsilon other than the one infinitely close to 0 allows you to prove that literally anything is a limit. Hell, otherwise I could define f(x) = 1,000,000,000 if x /< 0 and -2,000,000 if x > 0 and prove that a limit exists at the point x = 0 if i chose epsilon = 10,000,000,000,000. Right? lol. I have no idea how i could get one number for that limit, but the definition would be satisfied.
I was just wondering, should the delta be strictly less that 1.44, rather than less than or equal to? If delta equals 1.44, then x = 2.56 and then | sqrt(x) - 2 | = 0.4, which does not fit your strictly less than epsilon inequality at the top.
Holy crap, this was better than khan academy...... this stuff isn't hard to understand but for some reason most teachers present it like telling a story and starting in the middle great job ill link this video
Hey i have an exam tomorrow and i'm so lost in the precise defintion of the limit particularly the part where it doesnt state either the value of the epsilon nor delta wish you could explain that
Your content is so helpful for me. Thank you very much for your help. Can you please upload "the playlist for calculus vector and integral calculus" in details. Please 🙏
You are possibly the only online tutor who I’ve found that truly understands the relationship between delta and epsilon.
A seven minute video from 2012 made more sense than my 50 minute calculus lecture today in college....
LOL, I'm so glad it helped!
Kimberly Venesky my same exact experience! College professors don't really teach. From UC Davis. School's good though
Krista King I wish you could be my college professor haha, all of my college professors basically do is tell you the definitions.
Make Marshall Yep they really don't teach, then get mad at us when everyone fails a quiz.. hmm I wonder why
I plan to transfer to UC Davis, but as a junior. I'm going to Folsom Lake right now.
Whoot whoot this was one of the problems i was stuck at. Thank you for your help and very uplifting with your voice. Irie !
I'm so glad it helped!
This is seriously THE BEST explanation I've seen. Kudos for the amazing clarity in this video. Thank you
THANK YOU! My instructor didn't even touch on the Delta Epsilon definition in class and it comprises of half our homework. After watching nearly 5 videos, this was the first video that made finding Delta make sense!
Yay, I love that! I'm so glad it could help. Thanks for letting me know. :)
why can't I just watch these videos instead of going to college
agree hahahah
applicable 4 years later too T_T
Because there is a lot more to do in college, and people can show off a lot more. lol
Thank you so much for making this video! My Calculus professor admitted that he gave up on teaching this concept, yet we're still being tested on it. This short video makes more sense than his 90 minute lectures ever did. Thanks for saving my grade!
You're very welcome, isabella! Crazy that he'll still test you on this after what he said, but I'm really glad the video helped! :D
You are amazing. My instructor moves a million miles per hour without explaining anything. The breakdown of the math and more importantly the concept was clear and easy to understand. Keep doing what you are doing! Thanks for all the help and I will definitely be back :)
Thanks! I hope I can continue to help. :)
thanks a lot! my professor taught this exact same problem but skipped a bunch of steps and explanations but now its clear to me
Glad I could help! :)
It is astounding how simple this is when it explained without the "professor filter." Thank you for using simple language and turning this mountain back into a mole hill.
yeah this video was extremely helpful. better than the kahn academy one even
I'm so glad it helped!
I'm pretty sure I've watched 20 videos on how to figure these problems out, but after watching yours, I finally understand it! Thank you
Yay! I'm so glad I could help. :)
I was actually a psychology major. Strange I know. But I was a calculus tutor all four years in college and loved it. :) Sometimes I would struggle with various math subjects, but since I enjoyed it, I would always welcome the challenge. :)
i can't believe this 7min video is all it took. i've been sweating about this for weeks
Just as I was about to give up! Thank you for actually doing a relevant example. I cannot tell you how many examples like this are oversimplified or waaay too complicated.You're amazing! :D
Somewhere between the neat penmanship and the patient explanation of this tedious definition, this video became extremely helpful. Subbed - thanks.
By far the best video on epps and del I’ve seen. I have a calc test in a couple of hours and this just saved my life.
The best explanation on TH-cam for epsilon delta
your videos are always so helpful. I wish professors talked like you. I can't understand why they find it impossible to teach like a normal person instead of like a walking/talking textbook.
Honestly it's so stupid how they talk sometimes. A lot of my professors are great but you can just tell that some of them are only in it for the money and couldn't care less about the class.
Thank you! As others said, you just summed up a 50 minute lecture and made it clear to me. I spent that whole class with a blank look, but now it makes sense!
Oh good! I'm so glad it helped... these epsilon-delta definition problems can be tough to wrap your head around!
You actually saved me by explaining this concept. All my classes are online so its hard to ask questions and you did an excellent job. I've never been more grateful.
I was never taught this, and I was a math minor. I'm glad I got interested again all these ten years later and found it. I'm surprised this was skipped, because the way you explained it made it simple. thanks :)
You're welcome, I'm so glad you liked it! :D
Thank you so much! You explain things very well and at a great pace. Your visuals helped break down the problem well and helped me see what you were talking about. I've subscribed and I hope you keep posting!
Thanks! I definitely will!
Wonderfully explained. You're a life-saver, Krista.
I'm so glad you like them! Thanks for letting me know. :)
i had the exact same problem. i didn't catch that part while reading the instruction in the book and your comment just solved a 20 minute long mystery. thanks!
While trying to understand my calculus homework, I actually came across the exact same problem that you worked. Your explanation was very thorough and I feel like I have a much better grasp on epsilon-delta problems. Thanks so much!
This video may be old, but it was the only video on TH-cam to help me complete a pre-class quiz (we teach ourselves a concept before class) and I didn't get it before now. Thank you.
You're welcome, Samantha, I'm so glad it helped! :D
This was sooooo helpful! Don’t know what I would’ve done without this video
GOOD EXPLANATION.YOU ARE A LIFE SAVER..I BEEN STRUGGLING FOR WEEKS FOR THIS
Glad it could help!
That was a brilliant explanation, Thank you.
+malik zain Thanks!
This has to be one of the most helpful calculus videos I've ever watched... Kinda shocked I came across something like this, thanks soo much!
You write very neat. My math professor writes like he is a serial killer, I could hardly tell what his writing says at points. Thank you. You helped me understand this concept much more.
This channel is saving my calculus grade. Thanks so much. You ROCK!
+Sarah//Jake You're welcome, I'm so glad the videos are helping!
You are the blessings of almighty God for the struggling students who watch your videos and learn. You are heaven-sent. I can never thank you enough. I can just pray for your happiness, prosperity, good health and long life. You are the best! God bless you.
You are wonderful. You explain things at just the right pace for me to listen and understand as you work through problems. Your videos have helped me so much, THANK YOU!
Also, this is literally the EXACT problem I was attempting from my book! haha
+AliBoPhoto Aw thanks for letting me know! I'm happy I can help along the way! :)
The best explaination in TH-cam about epsilon and delta thanks❤️
You're welcome, Christian, I'm so glad you liked it! :)
10 years and this is still very helpful, thanks
This was extremely helpful, one of the best calc videos I've seen on here yet!
Thanks Megan! Glad it could help. 😊
thank you for saving my life! your explanation is crystal clear!
as a college student who struggles with math, i come back to this video all the time and it’s SO helpful for understanding problems after a long day of my brain being rattled!!
I'm so glad it's helped! :)
Please do many more epsilon delta, M, N & other proofs similar to this one. Please keep in mind wide variety of audience not just the top percentiles. You did a fabulous job doing this one without a doubt.
I have been wondering why I could take the distance between the right endpoint and x for linear functions, but not for radical functions. 3:03-4:06 everything became so clear after i watched this part. Thank you!
Thank you so much for the comment! I'm glad I could help. :D
THANK GOD FOR THIS VIDEO! 6 prervious videos and 1, 1.9 hour class to still end up confused.
This vid helped alot. I was stuck on how to proceed after getting 1.6 < x < 2.4 Thanks for the help, just liked and subbed! Keep up the good work!
Thank you!
You saved me on this homework set because my teacher didn't convey this message at all. Thank you so much! You made it so much more understandable
I'm glad I could help!
You're a lifesaver. I was so lost but now everything is clear. Thank you so much!
You're welcome, Suhel! I'm so glad the video helped! :)
Excellent, Bravo, Wonderful! Your videos are so helpful.
thank you so much, even khan academy was confusing for me on this topic, but luckily you were able to explain this very thoroughly!
So helpful, your explanation super simple and easy to understand than my professor ❤❤❤
Apart from the description being helpful, you do possess a beautiful voice of a lady!
Thx!
Great video. A bit over my head, but I was starting to get it. Great teaching style.
Thanks, Michael! Hope it's starting to click now. :)
Such a great video! It helped me better understand the concept of what I am doing and helped me realize it really isn't to bad. Thanks!
Yay, that's awesome! Thanks for the comment.
Glad you liked it! :)
I'm glad you like the videos!
This was such a great refresher! Perfect for cramming for my final tomorrow. Thanks so much for posting this! :)
Good luck on the final! You'll do great!! :D
You make math easy to learn! Hope you keep posting because it's really helpful!
Thanks Chewy! So glad the videos are helping! :)
Makes so much more sense than my professor's explanation. Thank you!
+looneypengu Glad I could help!
This explanation is crystal clear. Thank you very much.
+Elyanil Liranzo Castro You're welcome, I'm so glad it made sense!
This video is great it helped me understand the concept not just how to solve the problem. Thank you so much!
+Dora D So glad it could help!
Thank you for this!! You did a much better job at explaining than my teacher :))
+theupandup I'm glad I could help!
Thanks a lot for this great video pretty lady! Its been years since you made this video and I am sure you will never see this comment, but I have no doubt to this day you are still a great teacher and if not more so, just as beautiful.
you rock wowowow that was so much easier to understand than how my teacher explained it THANKS!! stay awesome
the best video I have foundt! Definitely will you use your channel again!!!!!!
thank you so much!
Dang, this video helped me with the curve concept, I was having problem understanding the difference with the linear and curve absalons. I don't know why I couldn't understand when the teacher was teaching us this. But, learning this way made more sense.
I'm so glad it could help!
I'm just trying to do my part. :) Glad you like the videos! :)
Thank you so much! This is actually the exact problem I was stuck on, which doesn't really matter, because what matters most to me is that I'm finally beginning to understand this concept after about 6 weeks 😄
Great to hear, Amy! This is a really tough concept (one of the toughest in Calc, for sure), so I'm so glad it's starting to make sense! :)
very nice explaination of epsilon and delta. i could not understand this for long time even after reading books. thanks for nice video on limits
You're welcome, Nilesh! I'm so glad this helped! :)
Super awesome video! Definitely feel a little more up to speed after watching this.
+Robert Carrillo Awesome! Glad it could help.
I love this video!! Thank you!
Thank you, excellent video and I really like the chalkboard program you used.
Amazing teaching
Life saver. I had it bad as my first time doing this was in Real Analysis (My 3rd semester in college). Now that I have to tutor it, it still remains sketchy...
A perfect video explaining how to find Delta. Thank you
You're welcome, Erik! So glad it made sense! :D
You're welcome! I'm so glad it finally made sense!! :D
A great thanks from me! The problem setting and using of numbers made it more clear to me.
:D
This video just calmed a freaked out, anxious Sophomore in university. Thank you!
Yay! Mission accomplished. 😀
You just saved my career!!! Thank you so much.
You're welcome, I'm glad I could help! :D
You are awesome, thanks for making my saturday!
Great video! This is very helpful for my calculus class. Thank you so very much.
You're very welcome, James, I'm so glad it helped. The precise definition can be tricky, that's for sure! :)
Thank you so much. I was puzzling over this question for hours, now I know how!
:D
Thank You!! You saved my life one night before my test!!
that was VERY helpful. THANK YOU! I understand this concept perfectly now
Oh good! I'm so glad it helped!!
OMG thank you so much for posting this, this has helped me soooooo much. I can tackle u homework, I KNOW U!
this was so helpful thank you so much!! I was wondering if you could do a video on delta epsilon proofs of the limit rules?
Omg it was this easy !!! i over complicated things so much, haha thank you very much you're the best love the way you explain every step!!!!
+Carlos Dominguez Awww you're welcome! I'm so glad I could help!
I kept trying to force 'a' to be equidistant from the limit of delta... now that I know that delta is simply the smaller of the two from the given alpha to the limit set by epsilon... thanks a bunch.
Your 6 min video was more helpful than the last 4 twenty min videos I watched on the same subject.
Oh good! I'm so glad it helped!
Thank u, have an exam after a while and didn't know what I should do cause didn't get this, but now I got it :) many thanks~
+lolo cchi I'm so glad I could help! Hope the exam goes well!
So at 6:17, If you had discontinuity such that the lim from the left and the right were different, but were still within + or - 1.44 = delta of each other in the direction of x, and were within + or - 0.4 = epsilon of each other in the y direction, despite having different left and right hand limits, wouldn't this limit still exist?
Just visually, you could break that orange line and move it such that from the left y = 1.8, say, and from the right y = 2.2, at the point x=4, right? What's to stop me from doing that? There must be some requirement that we are forced to check to see if it works for infinitely small epsilon otherwise it makes no sense. Otherwise I could just pick an infinitely large epsilon and prove that everything is a limit regardless. It seems pointless to choose any epsilon greater than infinitely close to 0; it just doesn't make any sense because any epsilon other than the one infinitely close to 0 allows you to prove that literally anything is a limit.
Hell, otherwise I could define f(x) = 1,000,000,000 if x /< 0 and -2,000,000 if x > 0 and prove that a limit exists at the point x = 0 if i chose epsilon = 10,000,000,000,000. Right? lol. I have no idea how i could get one number for that limit, but the definition would be satisfied.
I was just wondering, should the delta be strictly less that 1.44, rather than less than or equal to?
If delta equals 1.44, then x = 2.56 and then | sqrt(x) - 2 | = 0.4, which does not fit your strictly less than epsilon inequality at the top.
Holy crap, this was better than khan academy...... this stuff isn't hard to understand but for some reason most teachers present it like telling a story and starting in the middle
great job ill link this video
you're welcome!! i'm so glad this helped!! :D
9 years later and this video is still saving college students lives lol thank you
Your classes clear explanation thank you mam 😊
Hey i have an exam tomorrow and i'm so lost in the precise defintion of the limit particularly the part where it doesnt state either the value of the epsilon nor delta wish you could explain that
Your content is so helpful for me. Thank you very much for your help. Can you please upload "the playlist for calculus vector and integral calculus" in details.
Please 🙏
Thank goodness for this video my gosh!!! This just made everything make sense, THANK YOU!!!
You're welcome, Connie! I'm so glad it helped!! :D
Super amazing video, well explained!!