7) Use the Ordinary Comparison Test to determine whether the series is convergent or divergent. Υ n (a) (6) Σ η η 5" 3η – 4 M8 M8 (Inn) 2 (c) η (d) tan n2 n3 η-2 1 (e) Σ (6) Σ 2n + 3 2n + 3 ή-1 1-1
5. (12 marks) Determine whether the given series is convergent, If so, find its sum. a. Σ=4 η2-1 -η 6. Σ. 52 () C. Σ=5 4η νη+100
(1) Determine whether the following series converge or diverge: (a) Σ=0 η2 n=1 (b) Σ=0 520 και (c) Σ=2 /n ln (η) 2n (4) Σ. sin(1) η2 (e) Σ1 (1) Σ=1 n2-3n+1 ln(η).
2-15 Determine whether the series is convergent or divergent. 1 2. Σ 1.0001 3. Σ 1-0.00 n=5 η n=1 σο 2 3 4. Σ 5. Σ (1) ده است + ηψη 3 n=1 1 1 6. Σ 7. Σ η=5 (η – 4)? 2n + 3 n=1
3. [2/4 Points DETAILS PREVIOUS ANSWERS SCALCS 11.6.007. Use the Ratio Test to determine whether the series is convergent or divergent. విదు n=1 sh Identify and Evaluate the following limit. an + 1 lim X an + 1 Since lim VI 1, the series is convergent +30 Need Help? Read Wichit Tekipa Tutor Show My Work (Optional) Submit Answer 4. [2/4 Points] DETAILS PREVIOUS ANSWERS SCALC8 11.6.008. Use the Ratio Test to determine whether the series is convergent or divergent....
29. [-14 Points] DETAILS SCALCET8 11.6.025. Use the Root Test to determine whether the series convergent or divergent. 00 n2 +1 n Σ( n=1 12m² + 5 Identify a Evaluate the following limit. lim van n --00 Since lim Va,!? v 1. ---Select-- --> 00
SCALCET8 11.6.029. DETAILS PREVIOUS ANSWERS 4. [3/4 Points) Use the Root Test to determine whether the series is convergent or divergent. 4 Identify an aft Evaluate the following limit. lim Vlani I Х Since lim Van 1, the series is divergent Need Help? Read it Watch it Talk to a Tutor Submit Answer 5. [1/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.6.031. Use any test to determine whether the series is absolutely convergent, conditionally co Σ(1) In(n) Σ - 2 absolute...
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...
(-1)-1 n2 is absolutely convergent. 1. (2 points) Prove that cos n is convergent or divergent. 2. (2 points) Determine whether the series - (Use cos n<1 for all n) 3. (3 points) Test the series -1) 3 for absolute convergence. (Use the Ratio Test) 2n +3) 4. (3 points) Determine whether the series converges or diverges. 3n +2 n-1 (Use the Root Test) 5. (3 points) Find R and I of the series (z-3) 1 Find a power series...
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Determine, using the ratio test, whether the following series is convergent or divergent 3" (-1)" 2n(n + 1)!