Taylor Series (Notes #20 - Section 11.10 part 1)

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We can write the power series representations of some functions using the formula for the sum of a geometric series, but what about other functions that don't line up so easily with that formula? What is the general method for finding a power series representation for a function, and what's really going on to make it possible?
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Hello everyone! If you want a more in-depth look at Taylor Series or would just like a different perspective on the topic, I highly recommend this video by 3Blue1Brown:

SerpentineIntegral
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It doesn't change the answer at all but at 23:28 I think the numerator should be 2(x+4)

mf_
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Every time I listen to these I just imagine Ben Shapiro is behind the camera teaching me calculus. Helps keep me engaged, would recommend.

jeremiahbrand