Please show all work, step by step. Thank you so much!

8. (10 pts) Use the first three (3) non-zero terms of the Maclaurin series to approximate the numerical values. Then compare the Maclaurin series approximation with the value your calculator gives. Fill in the table. Use at least 6 decimal places in your answer. The Maclaurin series for cos(x) = f(x) = 1 + 2! 4! x4+... a. cos(0.1) b. cos(0.2) C. cos(0.3) d. cos(0.4) e. cos(0.5) x radians x degrees cos(x) calculator f(x) Maclaurin series 0.1 0.2 0.3 0.4 0.5 f. Using 6 digits, at what value of x (rad) does the Maclaurin series begin to diverge from your calculator value