Use Neville's method to approximate3 with the following functions and values. a. f (x) = 3x and

Question:

Use Neville's method to approximate√3 with the following functions and values.
a. f (x) = 3x and the values x0 = −2, x1 = −1, x2 = 0, x3 = 1, and x4 = 2.
b. f (x) =√x and the values x0 = 0, x1 = 1, x2 = 2, x3 = 4, and x4 = 5.
c. Compare the accuracy of the approximation in parts (a) and (b).