The Maclaurin series remainder term is used to evaluate the linear approximation of <i>e<sup>−x</sup></i> which relates concentration and fluorescence. The error associated with linear and higher order approximations is also treated. A method is described for calculating the error in the linear approximation given the sample concentration and molar absorptivity. The same approach is applicable to the calculation of the maximum concentration consistent with a prespecified error in the linear approximation.
R. B. Lam and J. J. Leary, "Maclaurin Series Truncation Errors as Related to the Treatment of Fluorescence vs Concentration Data," Appl. Spectrosc. 33, 17-19 (1979)