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14. State whether the following series converges absolutely, converges conditionally or diverges. (-2)" n! -2" a. converges absolutely b. converges conditionally c. diverges 15. State whether the following series converges absolutely, converges conditionally or diverges. (-1)k E 2² - JE a. converges absolutely b. converges conditionally c. diverges
(1 point) Consider the series 14" (n+1)102141 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim d. 1 a Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to Infinity or negative infinity Which of the following statements is true? A. The Ratio Test says that the...
Sec8.4: Problem 14 PreviouS Problem List Next (1 point) Book Problem 33 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE" n-+00 Answer: L What can you say abot the series using the Root Test? Answer "Convergent". "Divergent", or "inconclusive" Answer: choose one Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent" Answer: choose one
Consider the series (+2) ".value Consider the series ( 5n3 +1 | 4n3 + 3 ) . Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". lim vlanl = Answer: L= What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: choose one Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer:...
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0- 14- 196 14 Submit Skip (you cannot come back) Step 2 13 is continuous, positive, and decreasing on [1, o), we consider the since f(x)= For al3 13 n= 1 following. (If the quantity diverges, enter DIVERGES.) 13 13 13 13 dx=lim - 12(b)12 12(112 x13 12 b Submit Skip (you cannot come back) Determine whether the series is convergent or divergent. 4n+15-n n=...
n 12. Series A is om and series Bis Σ. A) both series converge absolutely B) both series diverse C) series A converges conditionally and series B diverges D) series A diverges and series B converges conditionally
Question 1. (a) Determine whether the series diverges or converges: Enal In (b) Determine whether the series 2n=1(-1)" 5 is absolutely convergent, conditionally convergent or divergent.
(-1)" (10 points each) Consider the series 회 (a) Is the series convergent? Support your answer with appropriate work and/or explanation. (b) Is the series absolutely convergent? Support your answer with appropriate work and/or explanation. (c) Is the series conditionally convergent? Explain.
7. -16.25 points Scalc7 11.6.001. What can you say about the series an in each of the following cases? lim an+1 = 3 nan absolutely convergent conditionally convergent divergent cannot be determined (b) lim. Sat2 | = 0.9 absolutely convergent conditionally convergent divergent cannot be determined lim an+1 = 1 O absolutely convergent conditionally convergent divergent cannot be determined Submit Answer 5. -16.25 points Scalc7 11.5.009. Test the series for convergence or divergence. § 41–19e-n n = 1 converges diverges
13. Find the sum of each series. a. En=1(tan-In- tan-(n + 1)) 6. Σ=1 nn+2) 14. Determine whether each series converges absolutely, converges conditionally, or diverges. Be sure to show your reasoning and state any test(s) used. b. Σ=1; Page 18 of 18 C. Σ. 2(tan-n)" δ. Σο1 242 Σα (-1)+1η