Limits and Logarithms

[@TheOrganicChemistryTutor]

Limits - Free Formula Sheet: bit.ly/3T3dD2X Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections Next Video: kzbin.info/www/bejne/ooesk2yff5KliKs

[@21CenturyCreatorio]

❤️😅” woww what just happened” that part got me

[@muspanisho]

The best channel to ever come out of KZbin 💯

[@dothemath1554]

Thank you for always making high quality content!

[@exotickhanaarif4333]

This video clearly explains what a limit is and how do we calculate it and why do we have to simplify the function to get a limit!!

[@Zaptrap101]

4:21 It was so funny to me, how did you not laugh😂😂😂

[@joseluisbenavidescepeda2244]

Thank you for sharing your knowledge with the rest of the mortals, I am a faithful follower of your channel, greetings from southern Colombia. Would you be kind enough to upload a video on solving equations with matrices please.

[@JasonSmith-gt6oi]

What degree did you graduate with? You inspire me so much with how much you know about multiple subjects.

[@masol3726]

he snorted all of Newton's books

[@jensmalzer6344]

he has gay secs thats how he knows

[@beri4138]

Organic chemistry

[@stefanugaz]

Imagine he doesn't even have a degree. He's just a humble genius lol

[@thewhat2]

Daddy Organic Chem has all the degrees 😩❤

[@PolkadOfficial]

Great video. More general, the limit as x -> infinity of f(x) = (1 + b/x)^(cx) is e^(bc)

[@heheeiibu]

Clever 😮😮

[@anferneeee92]

I'm so glad that I get so spend over $11,000 just for a semester at college to confuse the hell out of me, and then I can come home and actually learn this stuff for free.

[@1_in_8billion]

Ahahaha

[@DinoBryce]

Dang, $11,000 for one semester? That's more than the amount I pay for my school in one year!

[@anferneeee92]

I want to give your comment a thumbs down, not because it's a bad comment in any way, just because it makes me unhappy. But I wont. Probably... Maybe...

[@DinoBryce]

@@anferneeee92 Me?

[@pingpong3311]

​@@DinoBryce engineering programs are costly man

[@nemexalo1105]

Very helpful, watching from Papuan New Guinea

[@LivingstonMokonen]

The best teacher ..👌👌👌👌👌👌👍👍👍👍👍

[@HEY_AARYON]

Thanks 🙏. Love from Nepal 🇳🇵🇳🇵🤟

[@suvarnabiradar3753]

sir you are my best teacher in my life .

[@nopegaming2029]

thank you so much for saving me so many times in calculus

[@redsharkmen]

please make a series of videos on enzymes, hormones, neuropeptides, neurotransmitters, and gasotransmitters.🙂

[@roohijaiswal1403]

Very nice to see this session sir.. ! I studied many topics from Vidya Guru channel as well. I got very much same questions in my exams.

[@heheeiibu]

You're great! Brilliant, I hope I get parts of your knowledge someday

[@peterlblystone2326]

In my younger years, when I was big on math, I worked out this problem in a totally different way, by expanding the expression via the binomial theorem, simplifying each term, and taking the resulting limit of each of those simplified terms. This resulted in the series 1 + 1/1! + 1/2! + 1/3! + 1/4! + 1/5! ... and so on -- Which just happens to come out to 2.71828..., depending on how many terms one adds. In other words, the number e. Go ahead and try it! The procedure in this video is very interesting, but it seems to assume that the value of e is already known. It's nice to be able to plug in all those huge numbers and eventually get the same result, but how would one be able to accomplish that without one of today's calculators? Anyway, I just thought I'd add my two bits!

[@cpwm17]

They already knew there was a number with special properties in the range of e before they knew with precision what the number was. This technique uses that knowledge to get an e with a higher precision.

[@apjabdulkalamfanatm6231]

You explain really well..

[@allmight801]

more videos like this you just make math fun and easy to understand

[@hussainawni1151]

You are absolutely good teacher

[@seankelly8906]

In some ways, this is "backwards" in terms of defining e and hence lnx, but it's still a neat argument, and works if you instead defined lnx to be a certain anti-derivative of 1/x. Nonetheless, you'd still have to show that lnx is itself the inverse of exponential function if you did this, and even then one might wonder why exactly that (1+1/n)^n form is there, though it is apparent when you evaluate the derivatives of log and exponential functions.

[@lambsauces]

Merry Christmas!

[@davidloomis6668]

i feel smart i recognized the limit was e before he solved it

[@realtimechemistry3864]

very good way to get e from that limit

[@guliyevshahriyar]

Thank you very much teacher!

[@SS-tn6tb]

Thanks so much

[@pramodtheekshana7038]

He is an absolutely pure genius.Thank you.

[@dijkstra4678]

Its a bit circular to use the natural log to derrive e. Is there a proof that doesn't use it?

[@cpwm17]

They already knew there was a number with special properties in the range of e before they knew with better precision what the number was. This technique uses that knowledge to get an e with a higher precision, so it's not circular.

[@vilarseirei]

you legit saved my behind

[@skimbo.2002]

thank you for this one

[@apjabdulkalamfanatm6231]

Why don't you create your own app just like 'Khan academy' did And put all your videos there (categorized)

[@obeserat7978]

Atharv Mali your mind is too powerful

[@apjabdulkalamfanatm6231]

@@obeserat7978 I pleasure you to have a respect towards me

[@susa9786]

@@apjabdulkalamfanatm6231 lol 😭😂😂

[@PeachSyrup-zd7xt]

Bet he won the girls through this logarizzm knowledge

[@raka7743]

I have a question. That's why I'm here. Please help me. My textbook writes the same equation with " n tends to 0" and still the answer is e. .but if i do with 0 it's answer 1..is my textbook wrong? Or am I doing wrong? I have exam. Please help me.

[@danielbrown1933]

Thanks

[@aakashkarajgikar9384]

0:44 What are you doing? Are you allowed to take the natural log inside the limit like that? If so, show me a proof.

[@renewd]

Why are you taking derivatives before we have learned how to take derivatives. Is your patreon playlist in better order?

[@womav8803]

God bless you

[@metroidman7592]

Was I wrong to assume it is just equal to 1

[@Dogface1984]

ln y = 1. then "e" both sides

[@justabunga1]

1^inifnity is not always going to approach to 1 since it’s one of the 7 indeterminate forms using l’Hopital’s rule.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another outstanding video/lecture on Limits and Logarithms. Although the problem was done correctly, Mr. Organic Chemistry Tutor, you confuse me by mixing up variables/notation. Instead of just letting y equal to (1+1/x )^x and go from there, you have d/dx(ln(1+1/n)/1/n), which is an error. Please correct this error in the video.

[@draco_lich]

Not everyone is here just one day before exam like me, many ppl r studying this topic the first time so they need that he doesn't skip these little steps

[@ghaidaalkhiami9164]

Bro i luv u

[@luuring]

4:23 he said that nonchalantly

[@anestismoutafidis4575]

lim n-> [1+1/inf]^inf = 1

[@saaarthak-069]

bro 1^inf is an indeterminate form......

[@rtmz_judith7542]

Limite e👏👍

[@sikkimhills9927]

Well..tq u lot

[@mdshahidislam7984]

why we use ln after the limit

[@thatomofolo452]

[@poragbora6453]

What would be n value to get 1st or 2nd places exact decimals of Natural log.

[@milestailsprower4555]

2.71

[@raminrasouli191]

When I was in undergraduate, my teacher proved this theory neither using l'hopital's rule nor the binomial theory. So I know there's a third way proving this theory. I wish I kept my notes because I can't find it on KZbin. The problem with binomial method is that you have to know the series representation of e. And the problem with the l'hopital's rule is that the function is not continuous.

[@saala7869]

thanksssssss

[@jameswu9715]

Awwwwwww thanks so much

[@mathtutor7959]

X->2 x³-8/x-2

[@draco_lich]

12?

[@samiulislamdurjoy]

G 192

[@manishms9834]

Could've substituted 1/n as another variable

[@wt_pilot]

My exam doesn't allow hopitals rule :/

[@KartikeyPatel-f8e]

Her equation ki ek limit hoti he bad me vo galat sabhit hote he kyoiki ye sirf ek mathematic hi he or kuch nahi hota he 😅ye sirf ek mathematic ya maghtermant hi he or kuch nahi hota he 😅vastvikata se sambandh rakhana chahiye kalpana se nahi 😅partikal ek hakat he 😅dimension sirf ek kalpana 😅partikal se duniya chalati he😅dimension se nahi 😅partikal ek hakikat he 😅dimension sirf ek maghtermant 😅partikal ko dimension he dimension se partikal nahi 😅

[@Grim_Reaper_from_Hell]

Are you really trying to prove that e=e? Limit (1+1/n)^n is the definition of e

[@aqeelshah5801]

Please physics

[@zephyrleone1665]

What if the numerator is not 1. Wha if it is greater than 1, like 2000?

[@userunknwon2]

يمه وش ذا الدرس المرعب

[@avishkarandika4473]

bro please name this guy's university what the f i mean

[@Johnny-vy3kh]

I legit solved it with my eyes without allat stuff bruh 💀💀