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6. (25 points) Determine all positive values of p for which the series Lin=2 n(log2 n)...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
all part of one question Determine whether the following series converges absolutely, converges conditionally, or diverges....
all part of one question
Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
1 2 3 n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
Prob. 6 (a) (10 points) Use the Integral Test to determine whether the series is convergent...
Prob. 6 (a) (10 points) Use the Integral Test to determine whether the series is convergent or divergent. n(Inn) n2 (b) (10 points) Determine if the series converges or diverges. Mention which test you used. M8 n
All three questions Determine whether the following series converge or diverge. Show your work and explain...
All three questions
Determine whether the following series converge or diverge. Show your work and explain your reasoning. If a series converges, say what it converges to (if possible). Problem 1. Ln(Inn) Problem 2. n=3 nv n2 - 1 $ (-1)"8" Problem 3. 52n
Question 15 4 pts Determine if the series converges or diverges. Cite the test that proves...
Question 15 4 pts Determine if the series converges or diverges. Cite the test that proves your conclusion. If using a comparison test, include the comparison series. 6n 23-2 Does this series converge or diverge? Which test proves this conclusion? Question 16 4 pts Determine if the series converges or diverges. Cite the test that proves your conclusion. If using a comparison test, include the comparison series. (30)n (n2 + 3) Does this series converge or diverge? Which test proves...
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all inte...
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
please show all steps 00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally,...
please show all steps
00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
(2 points) Use the ratio test to determine whether in+2 "Ta converges or diverges. (a) Find...
(2 points) Use the ratio test to determine whether in+2 "Ta converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 6. (b) Evaluate the limit in the previous part. Enter o as infinity and - as -infinity. If the limit does not exist, enter DNE. lim 1200 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
all part of one question
Determine whether the following series converges absolutely, converges conditionally, or diverges. OD (-1)"ax= k1 k=1 Vk 14 +9 Find lim ak. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. k-20 OA. lim ax - OB. The limit does not exist. (-1*45 Now, let a denote E What can be concluded from this result using the Divergence Test? 14 k=1 Vk +9 O A. The series Elak...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
Prob. 6 (a) (10 points) Use the Integral Test to determine whether the series is convergent or divergent. n(Inn) n2 (b) (10 points) Determine if the series converges or diverges. Mention which test you used. M8 n
All three questions
Determine whether the following series converge or diverge. Show your work and explain your reasoning. If a series converges, say what it converges to (if possible). Problem 1. Ln(Inn) Problem 2. n=3 nv n2 - 1 $ (-1)"8" Problem 3. 52n
Question 15 4 pts Determine if the series converges or diverges. Cite the test that proves your conclusion. If using a comparison test, include the comparison series. 6n 23-2 Does this series converge or diverge? Which test proves this conclusion? Question 16 4 pts Determine if the series converges or diverges. Cite the test that proves your conclusion. If using a comparison test, include the comparison series. (30)n (n2 + 3) Does this series converge or diverge? Which test proves...
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
please show all steps
00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
(2 points) Use the ratio test to determine whether in+2 "Ta converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 6. (b) Evaluate the limit in the previous part. Enter o as infinity and - as -infinity. If the limit does not exist, enter DNE. lim 1200 (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose
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