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1

taylor series

mathematical tool used to express the value of a function at one point with the values of that function and its derivatives at another point.

2

taylor series

series in math101 lessons, you can get close to a given function with them. if someone says how much is e^7 or asks sinus 23, you put it in taylor and you calculate it as coot. an nth order taylor polynomial around zero p(x)=f(0)+f'(0)x/1!+f''(0)(x^2)/2!+...+fn( 0)x^n/n! like something like that.

3

taylor series

these are the series that james gregory discovered when taylor was very young. even our man gregory published 0-centered expansions of tanx, secx, arctanx and arcsecx functions at that time (see maclaurin series). and he even calculated the longest pi number mentioned in #786073 with these expansions, which he found on time, probably james gregory : 4 * arctan(1) = 4 * arctan(1) = pi i don't know why i need to say, but this series is connected to pi (see: close).

4

taylor series

http://video site/watch?v=19x213y_uk4

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