∞ Determine whether the alternating series Σ (-1)^+1_ n=1 n 5 2 converges or diverges. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p =. B. The series converges by the Alternating Series Test. C. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p =. D. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist. O E. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r =
Find the Taylor series generated by f at x = a. f(x) = 3ex,a=6 Choose the correct answer below. Ο Α.Σ (x-3)k-1 k = 0 Oc. Σ C. k = 1 3e k! Ο D. Ο Β. Β. Σ (x-6)* k = 0 Σ k = 0 30 6 k! 3e6 k! (x-6)k 6 6e k! (x+3)k
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