Taylorutvecklingar
Taylorutvecklingar, often referred to as Taylor series in English, is a mathematical concept that allows for the approximation of a function by a polynomial. This approximation is based on the function's value and its derivatives at a single point, known as the center of the expansion. The fundamental idea is that by using more terms of the Taylor series, the approximation becomes more accurate, especially in the vicinity of the center point.
The general form of a Taylor series expansion for a function f(x) around a point 'a' is
When the center of the expansion is at zero, the Taylor series is called a Maclaurin series.