Problem 3 20 points) Test the series for convergence or divergence Ecofan) su (3) - Part...
Calc II: Convergence of Series: Test the series for convergence or divergence. C12 157 Identify bn Evaluate the following limit. lim Dn Since imbn 20 and bn+12 bor all n Select If the series Is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.0001? (If the quantity diverges, enter DIVERGES.) Test the series for convergence or divergence. C12 157 Identify bn...
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
Use the Alternating Series Test, if applicable to determine the convergence or divergence of the series. (-1)"\n(n) n n2 Identify a Evaluate the following limit. lima Since lima 7.0 and an + 1 2 an for all n-Select-
List of Series and Tests • Geometric series, • Telescoping series, • Divergence test. • Integral test, • P-series test, • Comparison test, • Limit comparison test, Alternating series test, Absolute convergence theorem (absolute and conditional convergence), Ratio test, and • Root test. 1. Determine the convergence of the following series. State the test(s) you used to determine convergence. C. Σε 4-2k+1
10. [2/3 Points] DETAILS PREVIOUS ANSWERS SCALC8 11.5.007.MI. Test the series for convergence or divergence. 00 (-1)" (4n - 1) 3n + 1 n-1 Evaluate the following limit. (If the quantity diverges, enter DIVERGES.) lim (-1)" (4-1) 3n+ 1 00 Since lim (-1)" ( 41) does not exist - 3n+1 the series is divergent
I'm having difficulty how many terms need to be added in. Test the series for convergence or divergence. 00 Σ (-1)" n2n n = 1 Identify bn. 1 n2" Evaluate the following limit. lim bn n → 00 0 Since lim bn O and bn + 1 s bn for all n, the series is convergent n00 If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to...
5. [-/10 Points] DETAILS 0/2 Submissions Used Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series. (-1) n- 7 Identify an Evaluate the following limit. lim an Since lim an ? v 0 and an +11? va, for all n, --Select-- Submit Answer
La Use the rako test to show convergence / divergence of the senes oo (an-1) In: 4 h - 6) determine whether as (-1)" is convergent or divergent. If convergent insi ova is it absolute Or Conditional? 7) Find the radius of convergence for the following power senes: a) 8 / 2x)" bg (x+2)n Inol 7 8) and the interval of contergence for the following power series i no Lan)
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 +...
3. (20 points) Infinite Series (a) (10 points) 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)"e" (Limit Comparison Test or Root Test) (b) (10 points) 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 na2 B. (-1)"+1 n2...