Taylor series: a series expansion of a function about a point

Now we’ll see the use of Taylor series. If you recall, is the derivative of arctan(x). To find the Taylor series, we can just integrate, term-by-term, the series of . We end up with: Try checking it. It works. The inverse is true: try taking the derivative of each term: You have the series for the derivative of arctan(x). ................
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