Do you know how to set up a Taylor Series?

Assume that you can express as a polynomial. Also note that this can be expressed as

So .

Since we are finding the Taylor Series about , let . This gives .

Now take the derivative of both sides.

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Let to find .

Take the derivative again.

.

Let to find .

Take the derivative again.

.

Let to find .

Let's have a look at the Polynomial.

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Can you see what the term must be?