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14 Jun 2019 03:48:30 UTC
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Power series of ln(1+x_) | Series | AP Calculus BC | Khan Academy
We can represent ln(1+x_) with a power series by representing its derivative as a power series and then integrating that series. You have to admit this is pretty neat. Created by Sal Khan.

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-differentiation-and-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/finding-function-from-series-by-integrating?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/finding-power-series-through-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

...
https://www.youtube.com/watch?v=znT4W6n3WkI
Note: All Khan Academy content is available for free at (www.khanacademy.org)
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