n--3n+1 (2) Explain why En=1 n1+1/n is not a p series and determine if it converges...
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Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
21 (5 points each) The series 3n+1 converges. no (a) Explain why the series converges. Indicate by name any results, theorems, etc. that are part of your explanation. (b) Determine the value that the series converges to. Support your answer with appropriate work.
Determine whether the series converges or diverges. C n44 n3n2 n1 converges diverges Need Help? Read It
Determine whether the series converges or diverges. C n44 n3n2 n1 converges diverges Need Help? Read It
Page 13 of 15 Previous 13) 00 Determine whether the series m converges or diverges. n1 a) Diverges b) converges Both converges and diverges d) No test is applicable 1) Determine whether the sequence converges or diverges. In case of convergence find its limit. n + 2 Converges, lim = 8 b) Converges, lim = 7 Converges, lim - 4 d) Diverges
2. (a) Determine if the following series converges or diverges. 2" No n+1 (b) Determine if the following geometric series converges or diverges. If it converges, find the sum. 0.444444...
3n 13. Determine whether the series 22n? -7 con = converges or diverges.
Un=1 n! Q6-7: Determine whether each series converges conditionally, converges absolutely, or diverges. 1 3n2+4 6. An=1(-1)n-1 7. An=1(-1)n-1 2n2+3n+5 2n2+3n+5 Q8: Compute lim lan+1/an| for the series 2 m2 in Q9: Find the radius and interval of convergence for the series 2n=0 n! 1 Q10: Find a power series representation for (1-x)2 (2-43
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and a divergent p-series is greater...
2n Determine whether the series Σ is converges or diverges by the p-series Test. n=1 n4
3. Determine whether the series a permintulude demise en ligne conventionate camere consist on n-1169/2 -n+1 converges absolutely, converges conditionally, or 71+1 ns diverges. 4. Use the Ratio Test to determine the convergence or divergence of the series. n=1