Euler's Formula Proof

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

[tuberculosis]

I never thought that i would comprehend this rule

[donaldmcronald]

The complex exponential function is so usefel yet easy to understand if you know just a little bit about trigonometry. It helps a lot to calculate complex numbers which is useful for eletrical engineering and even signal processing.

[jasimmathsandphysics]

I remember doing this and it made perfect sense

[Vykng]

arent there conditions to rearrange the order of an infinite series? because if you just rearrange you could end up with a different answer than the original

[markus_park]

Bro this thing got recommended right after we covered it in our class

[conrad]

Resorting the series of e^x is only allowed by certain convergence properties of the series! Not all series are allowed to be resorted without changing their value.

[matthewproano]

I had a calc 3 test on this exact problem and I encountered it after the test🤧

[lakshya]

My Teacher Taught Me This Yesterday 😱
What are the chances!¡

[ginopaperino]

can u make a video in wich u show that geometrically?

[Questiala]

Imaginary numbers threw in a whole new world of possibilities, entirely new planes of existence. And e^i(pi) only shows how amazing math can be. I’m sure we haven’t found all the things in imaginary numbers yet.

[marcusscience]

I just think of a unit circle, e^it corresponds to rotating an angle of t around the unit circle, cos(t) is the x coordinate which is the real part, sin(t) is the y coordinate which is the imaginary part.

[tgypoi]

Aren't the first equations approximations?

[caspermadlener]

This proof is invalid, since it doesn't establish that sin(x)=x–⅙x³+...
The challenge is to relate this property of sin(x):
• sin"(x)=-sin(x)
• sin(0)=0
• sin'(0)=1
To the geometric properties.

[mia-ulou]

i always thought these taylor expansions were derived from euler's formula... and here euler's formula is derived from taylor expansions... it seems like a rather arbitrary self-referential definition to me

[ALisztf]

Not right, Taylor series are only for real numbers… but let’s say you’re lucky

[motivationalguru]

Sir NO3- me number of bond pair 4 kase hoti hai 3 honi chaiye thi.mera doubt hai ye aur mene saath aur bhi bache mujse puchte hai . Please make video on this topic plz

[studyhard]

Sir in imaginary number √I =-1 but sir as we know root square of any number is always positive like if we take -1 to the power 2 then the answer will be 1.