please answer both questions Question # 6. (6 marks) (a) Use the limit comparison test to...
b) first 6 (nl) 33" Question # 6. (6 marks) (a) Use the limit comparison test to determine the convergence of the following: 2n + 5 m32n2 n2+1 3n+n +6 (11) n=1 2n + 5 n3+1 (iv) na + 2n² 3n7 +n +6 nel ni (b) Suppose I have polynomials f(x) and g(x) whose coefficients are all nonnegative. Determine when converges and wherrit dinerges. fin g(n) n=1 2
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 +...
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
(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...
3. Determine whether the series converges or diverges (Hint: Use Limit Comparison test) 2n2 73 + 1
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?? We were unable to transcribe this imageWe were unable to transcribe this image
(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...
Please do both questions. Q5 (5 points) Using the comparison test, determine if the series 2” vn +1 converges or diverges. n n=1 Q6 (5 points) 00 n Using the comparison test, determine if the series converges or diverges. n3 +n +3 n=1
2. Use the limit comparison test to determine whether the following series converge or diverge. n Α.Σ 2 + n3 n=2 2n3 - n B. S 3n5 + 2n2 + 1 n=1 5" c. S 3" + 2 n= In(n) 1 D. Σ (Hint: Try comparing this to n2 n3/2 n=3 n=3 I MIMO Ε.Σ sin (1) (Hint: Try comparing this to n n=1 n=1