I ONLY NEED THE ANSWERS FOR 1c & 1d....THANK YOU!!!!

Problem 1 Let f(x) 1-2 la) Show that (Hint: L'hospital rule) lim f(h) -1/2 h0 1b) Find the rate of convergence of f(h) - 1/2 as 0. That is, find the constant such that lim(h)-1/2 is a nonzero constant. Hint: You may use the Taylor expansion of cos x at x-0. 1c) Write a Matlab program to calculate the function value f(x) and error If(x)-1/2 at x = 0.1, 0.01, , 10-8. Fill the results in a table in the following format (by hand) rf(x) f() 1/2 10 4.9958e-01 4.1653e-04 10 use the command format short e to show the result in scientific notation 1d) Does the error in b) converges to 0 as x -> 0? If yes, does it convergence at the rate shown in step b)? If no, explain why the result does not converge