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abdo799
- 169
- 4
i watched a lot of videos and read a lot on how to choose it, but i what i can't find anywhere is, what's the physical significance of the a, if we were to draw the series, how will the choice of a affect it?
I denote it by ##x_0## or when lazy ##c## for centre. So you are wrong, not everybody calls it ##a##.abdo799 said:hahahahhahaha, sry, it's just that everybody calls the center of the series a, nice video though :D
wrobel said:he perhaps means this "a":
A Taylor series is a mathematical representation of a function as an infinite sum of terms, with each term representing the derivatives of the function evaluated at a specific point.
The "a" in a Taylor series represents the point at which the function is being approximated. It is also known as the center or expansion point of the series.
The "a" value is typically chosen to be a point where the function and its derivatives are known or easy to compute. It can also be chosen to be a convenient value that simplifies the series.
A Maclaurin series is a special case of a Taylor series where the center or "a" value is chosen to be 0. This simplifies the series and makes it easier to calculate.
Taylor series are commonly used in science to approximate functions that are difficult to evaluate directly. They are also used in calculus to find the derivatives of functions and to solve differential equations.