Suppose you are using Newton's method for f(x)=0 with a starting guess with error no more than 0.4 units. Suppose further that 0.25f(x)0.5 and 2f(x)3 for all values of x within 1 unit of the root. After 3 steps of Newton's method, you are then guaranteed to be within how many units of the true root. (That is, find a good upper bound for the error after 3 steps of Newton's method)