For each of the following, use an appropriate comparison test to determine the convergence or divergence of the series.
a) The given series is . Now for . Since is convergent, by comparison test is also convergent.
b) The given series is . Now for
The series is divergent by integral test. That is . Therefore by comparison test is also divergent.
For each of the following, use an appropriate comparison test to determine the convergence or divergence of the series. α) Σ 2n +17 22 In n +5 α) Σ 2n +17 22 In n +5
Check convergence/divergence of series by applying appropriate test for convergence n Σ, (2n +1)3/2
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 +...
Number 8, 9, 13 please dow Help XMA 220 Homework XYuzu: Calculus: Early Transcen + 638/4/[email protected]:2.22 ים: İIO Using the Direct Comparison Test In Exercises 5-16, use the Direct Comparison Test to determine the convergence or divergence of the series. 5. 6. 2n-1 4" 7. 8. oo In n 9. 10. 1l 14, Σ 5"1 n=0 15. Sin n 16. Σ cos n +2 /n 回,回Using the Limit Comparison Test In Exercises 17-26, use the Limit Comparison Test to determine...
2. Use the integral test to determine the convergence or divergence of the series: Σ -- ne ne1
Problem 2. (25pts) Use Comparison Test to determine whether the following series are convergence or divergence. a) (12.5 pts) in b) (12.5 pts) -13710
1 Test the series for convergence or divergence: Σ (In nynn 1 Test the series for convergence or divergence: Σ (In nynn
Use the Direct Comparison Test to determine the convergence or divergence of the series Ž 8n The series E_81 diverges 2-1 (+4) The series Ē_81 converges -1 (n2+41
3. Determine the convergence or divergence of the following infinite series to through the criteria of comparison, integral or p-series 5 3. Determine the convergence or divergence of the following infinite series to through the criteria of comparison, integral or p-series 5
Infinite Series (a) Determine the convergence or divergence of the following series by applying one of the given test. Half credit will be given to those the correctly apply another test instead. (3)" =" (Limit Comparison Test or Root Test) n=1 (b) Identify which two series are the same and then use the Ratio Test and/or Alternating Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2n-1 B. (-1)"+1 n2 1
Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series. 00 (-1)"n Σ n²-8 n=3 Identify an Evaluate the following limit. lima n- Since lim 0 and an - 12va, for all n. ---Select- Submit Answer