Task 2 Taylor Series Expansion Order for a Constant Step

Last updated: 9/8/2023

Task 2 Taylor Series Expansion Order for a Constant Step Size For the following function f x 0 5x 2x 2x 1 Calculate an approximation of the function at x 1 using the value of the function and its derivatives at x 0 for increasing orders of the expansion Fill out Table 3 by hand by calculating the approximation of the function the true error truncation error and the approximate error Table 3 Increasing order of Taylor series approximation Order n 0 1 2 f 1 1 000 0 500 0 0 500 Et 0 500 E a Undefined