These answers correspond to the problems in Section 3.4. Since x+7 ≠ 0 x + 7 ≠ 0 for all x ∈[−1,2] x ∈ [− 1, 2] it follows that the function g, g, as a rational function, is continuous on the closed ...

The mean value theorem and Taylor's expansion are powerful tools in statistics that are used to derive estimators from nonlinear estimating equations and to study the asymptotic properties of the ...

In a similar spirit to the probabilistic generalization of Taylor's theorem by Massey and Whitt [13], we give a probabilistic analogue of the mean value theorem. The latter is shown to be useful in ...