write by Matlab, thanks.

Recall that the truncated Taylor series of a function f(x) about a point xo is given by: To(x) = to) 68 - 7o)" For f(x) = log r the task of evaluating (1) about to = 1 yields To(a) = (-2)=(2-1) Problem 1 (a) Derive a Taylor series with n+1 terms and the associated truncation error for the function f(x) = log(2) - 2+1 (3) (2-1)2 Your expression for the Taylor series should be general, similar to the series for log(x) (see Lab1A for examples of such computations). Note that this is actually much easier if you start with the Taylor series for log x and write out the first few terms explicitly starting with log(x) = (x - 1)+..., rather than starting from the definition above. (b) Construct an expression that bounds the truncation error, assuming n > 2, for a given value of . See especially the review material and examples related to Taylor's series with remainder in Section 0.5 of the Text by Sauer. Recall that the truncated Taylor series of a function f(x) about a point xo is given by: To(x) = to) 68 - 7o)" For f(x) = log r the task of evaluating (1) about to = 1 yields To(a) = (-2)=(2-1) Problem 1 (a) Derive a Taylor series with n+1 terms and the associated truncation error for the function f(x) = log(2) - 2+1 (3) (2-1)2 Your expression for the Taylor series should be general, similar to the series for log(x) (see Lab1A for examples of such computations). Note that this is actually much easier if you start with the Taylor series for log x and write out the first few terms explicitly starting with log(x) = (x - 1)+..., rather than starting from the definition above. (b) Construct an expression that bounds the truncation error, assuming n > 2, for a given value of . See especially the review material and examples related to Taylor's series with remainder in Section 0.5 of the Text by Sauer