(8) Let f(;r) = ln(1 + 362:2). (a) (5 Marks) Find the Taylor series for f centered at a = 0. (b) (5 Marks) Show that the interval of convergence for this Taylor series is [, %] . (c) (5 Marks) Find f' (:13) and the Taylor series for f ' (as) centered at a = 0. What is the interval of convergence for the Taylor series for f