2. a) The function f(x) = tan¹r can be expanded as f(x)=(-1)-1 22n-1 2n -1 n=1 (1) Find the number of terms n such that the value of f(x) is correct upto 8 significant digits at x=1. b) Find the absolute error if the number x = 0.00545828 is i. truncated to three decimal digits. ii.rounded off to three decimal digits. c) If f=4ry2/3 and the errors in x, y, z are 0.001, then calculate the maximum relative error in f when x y z = 1. d) Find the smaller root of the equation a²-400x+1 = 0, correct to 4 decimal places.