b) first 6 (nl) 33" Question # 6. (6 marks) (a) Use the limit comparison test...
please answer both
questions
Question # 6. (6 marks) (a) Use the limit comparison test to determine the convergence of the following: X (i) 2n + 5 n2 +1 n° + 2n2 3n4 +n + 6 n=1 n=1 CX 2n + 5 n3 +1 (iv) ni + 2n2 3n7 +n +6 n=1 n=1 (b) Suppose I have polynomials f(x) and g(1) whose coefficients are all nonnegative. Determine when converges and when it diverges. f(n) g(n) n=1
(1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
Comparison & Limit comparison tests to find convergence or
divergence
Help with question 10,11
Use the Comparison Test to determine if the series converges or diverges. 10) - 10 n=1 4 .9 A) converges B) diverges Use the limit comparison test to determine if the series converges or diverges. 11) - 6 275+ Bn (In n) 2 A) Diverges B) Converges
Vn+1 11. According to the Limit Comparison Test, the series does which of the n2+1 following? (a) It converges. (b) It diverges. (e) The test cannot be used here. (d) There is no way to tell. 2n + 5 12. Suppose that we use the Limit Comparison Test to test the series 3n3 + n2 - 4n+1 for convergence. Which of the following series should be used for comparison? (a) n 13+ n2 (b) (c) (d) În
At least one of the answers above is NOT correct (1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note this mearns that even if you know a given series converges by some other test, but the...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV If it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's rule, the sandwich theorem or any convergence tests for series. You do not need to justify using limit laws 2n n3 or explain why it does not exist. (a) Evaluate lim n (b) Determine whether each of the following converge: n+3 2n (i) 2 (3n) (ii) (n3)! n=1
Question 2 (10 marks) In this question you must state if you use any...
Use the Limit Comparison Test to determine whether the series
converges or diverges. ∞
n = 1( n^0.6/ln(n))^ 2
Identify bn in the following limit
n→∞ an/bn =?
It's convergence or divergence??
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