❖ Finding a Power Series Representation for a Logarithm Function ❖

Finding a Power Series Representation for a Logarithmic Function
In this video, we'll find a power series representation for a function involving the natural logarithm. By breaking down the function into parts, we'll use the known power series expansion for 1/(1-x) and apply some integration to derive a series representation for our original logarithmic function. This technique is useful for expressing logarithmic functions as infinite series.

What You Will Learn:

How to use the power series expansion for 1/(1-x).
Techniques to break up and rewrite logarithmic functions.
Applying integration to transform the power series for logarithmic representations.
A step-by-step example to help understand the conversion from a function to its power series form.
📚 Check out my book: 1001 Calculus Problems for Dummies for more practice!

👍 **If you find this video helpful, please like, share, and subscribe for more math tutorials!

Support My Work:

If you'd like to support the creation of more math content, consider becoming a patron on Patreon:   / patrickjmt  

#PowerSeries #Calculus #NaturalLogarithm #MathTutorial #PatrickJMT #SeriesExpansion #Mathematics #InfiniteSeries #LogarithmicFunctions #TaylorSeries #Precalculus #MathHelp #SeriesRepresentation #Algebra #FunctionAnalysis