4.4 Use zero- through fourth-order Taylor series expansions to pre- dict f(2.5) for f (x) = Inx using a base point at x = 1. Compute the true percent relative error ɛ, for each approximation. Discuss...

Extracted text: 4.4 Use zero- through fourth-order Taylor series expansions to pre- dict f(2.5) for f (x) = Inx using a base point at x = 1. Compute the true percent relative error ɛ, for each approximation. Discuss the meaning of the results.


Extracted text: 4.2 Perform the same computation as in Prob. 4.1, but use the Maclaurin series expansion for the sin x to estimate sin(7/3). sin x = x - 3! 5! 7! +