Please answer all questions and show work:

5) Let f(x) =x/'. Which of the following cubic approximations should you use to compute 71 3? O y=1+3(x-1) - 5(x-1)2 10 1 '+ (1-1)3 O y = 2+ - 72 (x - 8)2 5 + 1728 (1 - 8)3 1 O y =2+ +(1-2) - - 144 ( X - 2)2 5 + 10. 368 (7 -2)3 O y = 2+ 12 (I -8) - 288 (X - 8)2 + 5 20, 736 (T - 8)3 6) Which of the following is the power series for the function In(5 + x) centered about 0? (-1) 1 n+1 5 00 n (x+ 4)" n O In5+ (-1)' C n+1 n +1 5 7) For which of the following values of x does the power series O 3 (n - 4) f(n) 0 4 (I - 2)" -2 O 2 converge