how to easily write the epsilon-delta proofs for limits

*more examples*

Start the epsilon-delta proof by writing
1. given
2. choose
3. suppose
4. check

0:00 this could be your GPA saver
0:10 ex1, linear function limit
3:09 ex2, sqrt function limit

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Thank you,
blackpenredpen

[serenitymayfair]

This taught me delta epsilon proofs better in 15 minutes than anyone else ever could in 10 hours of lectures

[Denis-vjhz]

I'm a simple man. If π≈3 and e≈3 then π≈e. Done ✅

[martinpena]

*In the one hour exam*
"Oh I'm not sure about this limit, let me prove it"

[osuh]

Wow, this really is the single greatest video about Epsilon-Delta proofs.
I have never seen some one explain this as detailed and well as this guy.

[divishthamalik]

I have followed you through my high school and now I am still relying on your videos in my first year of engineering you have amazing content keep up the good work.Thanks a lot Sir.

[tzonic]

I really had a hard time with epsilon-delta in my first semester in engineering but it turns out it's just matter of practice(for linear and 2nd degree polynomials 😅). It would be great if BPRP could show us geometrically the epsilon Delta

[einsteingonzalez]

"GPA saver"...
More like career saver. It's necessary.

[SergeantTeabag]

Extremely concise, thoughtful, and thorough explanation of how to use the epsilon-delta definition effectively and smoothly. This was so much more help than the book I'm reading through for Calculus. Thank you so much! This is a life-saver for college-level Calculus.

[flyingcola]

I've never seen a simpler walkthrough for this! Thank you so much! Calc AB final is coming up in a couple of days

[hybmnzz]

For the second last line in the last problem you should not write
= 8 * epsilon/8
but instead
<= 8 * epsilon/8
Because delta is not necessarily epsilon/8, if it is 1 then it may be less than epsilon/8.

[AdelaCervantes-rc]

this might be the most useful video i've ever seen. somehow managed to gaslight me into thinking it was easy and simple and then it really became easy and simple thank you you are a magician

[Rachel-tupq]

exactly what I needed to help me in calc. love the way you can explain this dreaded topic so simply and have it be so effective!

[Bayesic]

Where was this kind of content when I was in calc 1? Amazing video man!

[harisl]

This man just explained the hardest topic in limits in just 15 Mins. Hats Off!!

[Chris-ngzi]

For the second example where you said (@(8:27) root (2x+6) is always positive and thus {(2|x-5|) / (root(2x+6) + 4)} < (2|x-5|) / 4. Instead, could you have said the entire denominator (root(2x+6) + 4) is also positive and thus { (2|x-5|) / (root(2x+6) + 4) } < (2|x-5|). The result is that delta is equal to Epsilon/2 vs 2.epsilon. Is "Epsilon/2" an acceptable answer?

[chrisxd]

I almost wish my university would've had more time to focus on the delta-epsilon proof. We never went over the notation used for the limit of the quadratic so thankfully I learned about it before moving on from being an undergrad.

[BhaveeRathod]

this dude's actually the best i can't even put it into words how grateful i am for him and his wonderful content!!

[MichaelDuder]

Thank you so much for this... I am trying to get a headstart on calc out of Stewarts Calculus and they really don't do a very good job of explaining in the text so you just got me dug out of a ditch trying to understand what to do with exponents.

[UnevenerGgc]

I’m not taking calc(not old enough yet to take it lol) but it was always difficult for me to wrap my head around quadratic epsilon delta proofs, it feels like this opened my 3rd eye

[caghey]

i was reading a calculus book and i didn't understand a thing about this part but you made everything clear in 8 minutes! thank you so much!!!