Check convergence/divergence of series by applying appropriate test for convergence
Check convergence/divergence of series by applying appropriate test for convergence n Σ, (2n +1)3/2
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
1 Test the series for convergence or divergence: Σ (In nynn 1 Test the series for convergence or divergence: Σ (In nynn
2. Test the Series for convergence or divergence. In(n) Σ(-) Σ- 4 n=3 η=1 n 3. Determine which option is absolutely converges and explain in details the reason. 1 (=Σ(-1)" 3 =Σ(-1)" C-Σ(-1)* tan(n) η Υ -Σ-1): E = None of these n!
Test the series for convergence or divergence. 3794 Σ n! n = 1 convergent divergent
Test the series for convergence or divergence clearly justify sin(2n) 1+21 n=1
Test the series for convergence or divergence. 00 Σ (Zn + 1) ,60 n n = 1 O convergent divergent
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
Test the series for convergence or divergence. 2. Σ-1 M: ÎM 5. Σ 1 **=2 ny Inn M: 9. Σ ων () 10. Σ» in (1) 12. Στα 14. Σπωλειον IM 15. Σ (V2 - 1)" 16. Σ(-1)*cos (1/n?). IM
iv gral Test or a p-series to determine the convergence or divergence of the series Di verges n-101 a) Σ。-Paz, a) Pe l 2 3 욕쇤-Diverge 2 iv gral Test or a p-series to determine the convergence or divergence of the series Di verges n-101 a) Σ。-Paz, a) Pe l 2 3 욕쇤-Diverge 2
b) Test the series for convergence or divergence. 00 (-3)*+ Σ k = 1 42%