The data for Exercise 5 were generated using the following functions. Use the error formula to find a bound for the error, and compare the bound to the actual error for the cases n = 1 and n = 2.
a. f (x) = x ln x
b. f (x) = x3 + 4.001x2 + 4.002x + 1.101
c. f (x) = x cos x − 2x2 + 3x − 1
d. f (x) = sin(ex − 2)