I need help with Number 6 a to c. b.a.6.Use the limit comparison test to determine the convergence of the series.2¹3"-5b.a.b.C.d.n=100a.b.74√/1²-²n=1∞07. For each of the series below, use at least two of the tests to determine the convergence of theseries. Each test should be used at least once. Choose from: nth-term test, p-series test,integral test, limit comparison test, geometric series test, telescoping series test, directcomparison test. Clearly indicate which tests you are using.Σ(-3)n=0n=1L√nn18 IMS IM8n=100tane. Σ=1f. Σn=1g. Σ=1n=11¹3" +2n=1 n² +∞n'2n + 300Icn=1n∞c. Σ=1n=0n² + 1)²n-1n² √√nn+4nn=1n+6n11+=n nCOSNTd. Σ(-1)"e-n²(−1)n+1 √nVnC.\n+e. Σ(-1)"+¹ arctan nf. Σ=1(-1)" sin1n=n(n² +1)h.i.j.k.8. Determine the convergence or divergence of the series. If the series converges, does itconverge absolutely or conditionally?(−1)″ n²n² +100i.j.n=4Σn=1\n+100n=1I.I.E=1m. 2n=1Σ=13n²-2n-15100n. Σn=₁ sinWW1n=13n(n+3)n=0(2k-1)(k²-1)(k+1)(k²+4)e1/nn(−1)n+¹n=1k. † (-1)"In nn=21n+21nn+¹ In(n+1)·COSNTn+1n+1(−1)¹+¹ √√nn+2m. Σã=₁(−1)n-¹e²/nn. Σ=1(-1)^nnn!

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b. 6. Use the limit comparison test to determine the convergence of the series. 2 11=13"-5 a. b. a. b. C. d. 1 n=1 4√n-1 7. For each of the series below, use at least two of the tests to determine the convergence of the series. Each test should be used at least once. Choose from: nth-term test, p-series test, integral test, limit comparison test, geometric series test, telescoping series test, direct comparison test. Clearly indicate which tests you are using. n=1 a. IM8 IMS IM8 IMS b. e. ¹⁰⁰ tan f. 0⁰ Zn=1 g. Σn=1 n=1 n * (n² + 1)² n-1 2n=1n²√√n n+4" n+6n 1 n=1 n 1 3" +2 00 '2n +3 n=0( 00 n n=1 0⁰0 C. 2n=1 ITAP n (-1)"n² 2 n² +1 COSNT d. Σ(-1)"e-n² e. (-1)+1√√n √√n C. 8. Determine the convergence or divergence of the series. If the series converges, does it converge absolutely or conditionally? E(-1)"+arctann 1 n=n(n² +1) h. Σs (-)" n=0 1 3n²-2n-15 i. n=4 1. Σ n=1 k. 1. Σk=1 1 n+1 n+2 3 n=1 n(n+3) 00 m. Ln=1 00 n. Zn=1 i. k. I. (2k-1)(k²-1) (k+1)(k²+4) e1/n n+1 j. (-1)"+¹¹ √n n=1 n+2 • (−1)”+¹ ln(n+1) S n=1 n sin n=2 n=0 (-1)" Inn COSNT n+1 m. En=1(−1)n-1e2/n

b. 6. Use the limit comparison test to determine the convergence of the series. 2 11=13"-5 a. b. a. b. C. d. 1 n=1 4√n-1 7. For each of the series below, use at least two of the tests to determine the convergence of the series. Each test should be used at least once. Choose from: nth-term test, p-series test, integral test, limit comparison test, geometric series test, telescoping series test, direct comparison test. Clearly indicate which tests you are using. n=1 a. IM8 IMS IM8 IMS b. e. ¹⁰⁰ tan f. 0⁰ Zn=1 g. Σn=1 n=1 n * (n² + 1)² n-1 2n=1n²√√n n+4" n+6n 1 n=1 n 1 3" +2 00 '2n +3 n=0( 00 n n=1 0⁰0 C. 2n=1 ITAP n (-1)"n² 2 n² +1 COSNT d. Σ(-1)"e-n² e. (-1)+1√√n √√n C. 8. Determine the convergence or divergence of the series. If the series converges, does it converge absolutely or conditionally? E(-1)"+arctann 1 n=n(n² +1) h. Σs (-)" n=0 1 3n²-2n-15 i. n=4 1. Σ n=1 k. 1. Σk=1 1 n+1 n+2 3 n=1 n(n+3) 00 m. Ln=1 00 n. Zn=1 i. k. I. (2k-1)(k²-1) (k+1)(k²+4) e1/n n+1 j. (-1)"+¹¹ √n n=1 n+2 • (−1)”+¹ ln(n+1) S n=1 n sin n=2 n=0 (-1)" Inn COSNT n+1 m. En=1(−1)n-1e2/n

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 73E

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