1 7) Show that the series converges/diverges 1 1 8) Show that the sequence a N + 1 N+ 1 is monotonic.
Show all work. If a series diverges, write “diverges" in the box. 7. 17 17 k+2 k +3
On exercises 5-8, show whether the series converges or diverges using an appropriate test. * 2k+33k-3 5) k* in n + 3n-2 n²+1 * 2k+Ik! (k+3) 7)
(1) Suppose that Σ an converges and Σ bn diverges. Show that Σ (an +b.) diverges. (1) Suppose that Σ an converges and Σ bn diverges. Show that Σ (an +b.) diverges.
Show all work. If a series diverges, write “diverges” in the box. 6. Evaluate: $ xet da 7. Σ 17 k + 2 17 k +3 k=1
please show work!! 010 L)os Evaluate the following, or show that it diverges: 86. on scal E Justify your answer # 7. Does the following series converge? 21 (unnys Are the following statements true or false? Justify your answers. #8. (a) If the sequence ( then the sequence (a4) diverges as) diverges, TASK an diverges, and b, diverges, then a,+b diverges (b) If Sara (c) If G CODverges then lim a exists, 00 #9. If the series were approximated by...
(1 point) Determine if the following sequence converges or diverges. a 3(3") + 7 15(4") Note: If it converges, enter the limit as your answer. If it diverges to 00, -00, or neither enter infinity Infinity, or divergent, rospectively, Answer:
Question 11 In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, x2,...,x) = (0,0,...,0). 9. x– 2x2 = -1 2xy + x2 = 3 11. 2x, – 3x2 = -7 x1 + 3x2 – 10x3 = 9 3x + x3 = 13 10. - x + 4x, = 1 3xı – 2x2 = 2 12. x, + 3x, – x3 = 5 3x1 - x2 = 5 x2 + 2x3 =...
Show all your work. If a series diverges, write "diverges” in the box. Evaluate: 4. (2x + 3)3+2+30+2 d. 3k 5. WIE (Hint: careful with indices!)
Problem 4. (12 points) Suppose that converges when -5 and diverges when : -7. Determine whether the foliowing series converge or dverge. Answer "Converges" or "Diverges." ? ? . 3. § (-1)", 12" Note: You only have two attempts at this problem Note: You can earn partial credit on this problem