The Ultimate Continuity Battle (Example 2)

[@blackpenredpen]

This explains why I don’t have a math PhD.

[@mrnogot4251]

You could probably figure this stuff out. It’s the kind of thing that you do in an undergraduate real analysis course.

[@chronicsnail6675]

Just an excuse

[@drpeyam]

But u have a PhD in integration hahaha

[@darkseid856]

I want to have PhD in horseshoe mathematics .

[@ianmi4i727]

Same here!! 😆

[@wtt274]

Undoubtedly Dr Peyam has a passion to teach, dedicating himself to achieving his goal . This is very appreciated !❤

[@x-plainer]

I was attracted with your Quadratic eqn videos from INDIA

[@hassanalihusseini1717]

Thanks for this interesting battle. Liked it!

[@mariosantana8233]

Thanks! It was a very good class!

[@bigback9226]

You make math enjoyable! Thank you!

[@6754bettkitty]

Prove it if you want to be thorough, but the envelope functions say it all.

[@joseluisvazquez4221]

Really fascinating!

[@mahendramahendra2088]

Speaking of continuity, can you make a video on bump function and its properties, please?

[@chato9327]

Two "Peyam" xD

[@halloween2315]

Dr peyam can i use this channel for jeee🥰🥰

[@delta1996]

in 4:07 why X^2 is multiplied by 1?

[@drpeyam]

Oh because |sin(anything)|

[@delta1996]

@@drpeyam thank you sir.

[@joryjones6808]

This week on "Epic Math Battles of Histora-wy."

[@rockersahab5757]

6:02

[@gautampathak7653]

At 6:56,why we want sin(1/Xn)=1

[@drpeyam]

To simplify things

[@gautampathak7653]

@@drpeyam thanku sir... Your way of teaching is awesome

[@guill3978]

Hello, Peyam. As a curiosity, do you know which constant is the Erdos-Borwein constant?

[@musik350]

@@pbj4184 That's not what a troll is.

[@pbj4184]

@@musik350 Yes sorry, I think I had an misunderstanding

[@shaoqianng9333]

6:15 WTF

[@visweshshukla]

Wait. This video was uploaded 5 hours ago then how it has comments from past 7 months? 🤔

[@drpeyam]

Magic

[@visweshshukla]

@@drpeyam you are mathemagician 🙏

[@kaivalydaga9257]

why is this unlisted?

[@drpeyam]

Because

[@pbj4184]

@@drpeyam Holy shit, you made this 7 months ago? Wow discipline man! If it's not too intrusive, may I ask how many days of extra content do you usually have unlisted?

[@drpeyam]

@PBJ A whole year lol

[@drrobotnik5376]

But can u make it entertainin'! thats another skill to learn. :) magician style!

[@joaquingutierrez3072]

Cool!!!

[@gabrielalem123]

Can you helpme with this equation? log (2-2sinx) / log (-2/√3·cos x) = 2

[@ronaldjensen2948]

First multiply both sides by log (-2/√3·cos x) to clear the fraction, then use the identity b log(x) = log(x^b) to clear the square root. Next, factor 2-2sinx as 2(1-sinx) and use the identity log(a x) = log(a) + log(x). Move the constants to one side, and the trig functions to the other. A few more identities should get you to sin(x) = 1/2

[@gabrielalem123]

@@ronaldjensen2948 Yes, but i'm solved graphical, there not solutions. Sorry by my english

[@ronaldjensen2948]

@@gabrielalem123 Good point. All the solutions are extraneous since they lead to division by zero

[@sadececansu9]

@@ronaldjensen2948 Hello I don't know whether I 'm missing sth or not but log2+log(1-sinx)=log(4/3cos^2) then log(4/3cos^2) -log(1-sinx)= log(4/3cos^2 /1-sinx) which brings us 4/3 cos^2*(1-sinx) isn't it like that? Isn't cos^2*(1-sinx) in the denominator and then doesn't it bring (1-sinx)^2*(1+sinx) where is my mistake I couldn't cancel out 1-sinx factors

[@ronaldjensen2948]

@@sadececansu9 Try moving everything to one side so you have log(...)-log(...) = 0 Then combine all the logs on the lhs so: log(...) = 0 Then raise to the e to clear the logs: (...) = 1 All trig from there

[@chauhan.739]

Why don't you also use pokéball like your friend??