AP Calculus BC ~ FRQ #1 Consider the series _a, where a, = (x+3)" (-6)" (a) Determine if La, converges or diverges when x = 1. (b) Let La, = L where L is a real number. Show that there is a value of x such that L = 15. 1=0 (c) Let d, = -". Find the interval of convergence for Ed. . n+1 #=0 (d) Let f(x) be a function that is twice differentiable at all x values. If the first three terms of Ed, are the second degree Taylor polynomial for f(x) centered at x = -3, find f"(-3)