Representing Functions as Power Series

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What are power series good for? A lot, in fact! It turns out many common functions can be expressed as power series. This is arguably one of the most important ideas in all of mathematics! It opens the door to a brand new way to analyze, manipulate, compute, and understand functions.
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This video was originally a part of a larger video lecture, so please pardon any out of place references to example problems, etc. that came from these videos' original contexts.

The original lecture this video came from can be found here:

The full playlist of these Calculus theory videos can be found here:

You can find a playlist of all my Calculus lectures (where these theory videos were originally a part) here:
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Best visual explanation for power series on whole YouTube, thank you sir.

lyricass
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Wow!!
Thank you for the video. Great explanation

carlosraventosprieto