Question #1 - 6 marks. The following is a third degree Taylor polynomial approximation to some function f(x). (x - 1)3 f (x ) ~ 2+ (2 - 1) (x - 1)2 4 64 512 Determine the true value of the function at x = 1.12 to five significant digits. Justify your confidence in the number of correct significant digits in your approximation. HINTS: You do not know the true value so you must use the approximate relative error somehow to determine the number of significant digits. To use the approximate relative error you need to iteratively approxiamte the function at x = 1.12, i.e. calculate a po, then a p1, etc. until you have a good approximation