❖ Taylor / Maclaurin Series Expansion - Proof of the Formula ❖

Описание: 📚 Deriving a Power Series Representation for a Function – Step-by-Step Tutorial 📚

In this video, I show how to derive a power series representation for a function, assuming the function can be expressed as a power series. We walk through the process of finding the expressions for the coefficients by evaluating the derivatives of the function at x = a. By doing so, we arrive at the general form of a power series.

🚀 What’s covered:

Explanation of the power series formula and what it means for a function to have a power series representation.
Step-by-step guide to finding the coefficients by evaluating derivatives at x = a.
How to use these coefficients to construct the general form of a power series.
This tutorial is perfect for those studying calculus or advanced mathematics, and it provides a solid foundation for understanding series expansions and their applications in math.

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