MATH 231 Lecture Notes - Lecture 20: Arm Cortex-M
8 Apr 2015
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Higher and higher degree polynomials can help us achieve a better approximation of the function. We can see this with an expanded sum of the general form of the power series. x a n. If we assume that both sides of an approximate polynomial agree at x=a f (a)=0. Therefore, we find that the coefficients of a function with a power series expansion are determined by the following expression that- If we substitute this expression back into the general form of the power series, we create a new series known as the taylor series of a function. x a n. T n(x )= n=0 f (a)} over {2!} (x-a {)} ^ {2} + {{{f} ^ {3} (a)} over {3!} (x-a {)} ^ {3} +} ^ > A slightly different expression is used for a series centred at the origin (a=0). This new series is a maclaurin series. n=0.
