Proving Euler's Formula (4 of 4: Evaluating constants)

[@mahdiotet8026]

very perfect and well explained i was looking for this prove for at least a weak, surfing the net and finally fin it here thank you

[@yashwanthy5952]

Sir, there are many students from India who is listening to your lectures....... Please wish them good luck with the joint entrance examination which is one of the most prestigious and Important exams in India

[@naushaadvanderveldt5342]

I was kinda waiting for him to talk about Euler’s Identity ( e^(i*pi)+1=0 ) which you can just get by substituting pi in for x in Euler’s formula.

[@lgl_137noname6]

Say Eddie, Will you now do the Taylor Series proof ?

[@sharonche5042]

It's easier!!

[@СагындыкАманжол-н6ы]

Great explanation! What iPad app are you using?

[@goodnewsnwosu7562]

Notability I think

[@aashsyed1277]

@@goodnewsnwosu7562 YES IT IS A APP

[@aashsyed1277]

IT IS A APP AND THE NAME IS NOTABILITY

[@torebektoregozhin5675]

so any exponential of the form e^ix (purely imaginary power) has a magnitude equal to one, right? Because magnitude of a complex number |x| is the sum of squares of real and imaginary parts under the square root, which basically is the sum of cos^2 and sin^2 under the root. Only difference is in the rate of how fast an angle changes for each progression in x. Then this function is running along the circumference of unity circle on a complex plane with different angular speeds. Some kind of a "hamster" function

[@bouncycrabboomz]

What is the name of the app he uses to write on ?

[@TheMarkODonohue]

Notability

[@pankajmadhwal8850]

Could I put your interesting proof on my youtube channel in my own way with your name in the credits?

[@herbaHD]

Since there is no copyright in mathematical proofs you can do that

[@DavidAspden]

Great video. I think you would benefit from a bit of obs magic. You could trim off that pen selector and give yourself a bit more screen. Happy to help. But Maths content is second to non.

[@niloydebnath6441]

At 3:36 You wrote c2=0 , t=x without substituting the value of x=0, and t=0 Why?

[@Z-eng0]

He did, at 3:20 to 3:25 But if you're asking about why he placed to zeros then, the part where he let x=0 he basically used m & t just as they were, functions of x, first then compared them with the functions he found for them

[@vaughanwilliamson173]

In other textbooks, I think you may find that what Mr Woo above described as the "polar form" is described as the "trigonometric form". The "polar form" is often the representation of magnitude and angle - written a bit like R /_ theta. Be careful to note that frequently, theta in this "polar form" is written in degrees rather than radians.

[@ramupadhyay4637]

I'm from india and I wanted interesting what i don't know