Analysis Incarnate 2

This is a proof of Euler’s Identity using the Taylor Series.

a

We can write \(e^{i\phi}\) as the Taylor Series expansion.

b

Let’s visualize this sum. It helps to write out all your terms because you know that the powers of i are going to alternate between 1,-1,i,and -i.

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Analysis Incarnate

This is a quick proof of Euler’s formula without the use of the Taylor Series.

a

Even with the imaginary number i, this equation is differentiable, so we can take the derivative of :

b

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Hello World!

During quarantine, I decided to make a blog (The Haven) to journal my thoughts and experiences. Find the source code here.Happy Reading!

Sincerely,

Dylan

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