❖ Taylor and Maclaurin Series - Example 1 ❖
📚 Taylor and Maclaurin Series Explained – Step-by-Step Example 📚
In this video, I walk through an example of finding the Maclaurin series for a function, specifically showing how to determine the series expansion for e^(5x) (assuming the series expansion is valid).
🚀 What’s covered:
Understanding the Taylor series: A function's series expansion centered at x = a.
Maclaurin series: A special case of the Taylor series where a = 0.
How to find the series expansion by calculating the values of the derivatives at x = a.
By the end of this video, you’ll have a solid understanding of how to compute both Taylor and Maclaurin series and how they relate to each other. This is a key concept in calculus, helping you understand how to approximate functions using infinite series.
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#TaylorSeries #MaclaurinSeries #Calculus #SeriesExpansion #MathTutorial #LearningCalculus #MathHelp #Derivatives #ExponentialFunctions #STEM #Mathematics #MathConcepts #SeriesMath
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