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For each sequence a, find a number k such that nkan has a finite non-zero limit. This is of use, because by the limit c...
What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above...
What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above 3) 2 5/2 Evaluate 0 7n 125/2 4) 2 (ln n true false The series converges 5) 2n2 1 The series converges The series diverges. 3n36 Using the limit comparison test The test is inconclusive determine whether the series converges or diverges.
What is the limit of the sequence -1...
(1 point) The three series ^A,, ^ Bn, and > Cn have terms 1 An n 1 В, %3 1 С, —- = Use the Limit Comparison Test to...
(1 point) The three series ^A,, ^ Bn, and > Cn have terms 1 An n 1 В, %3 1 С, —- = Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
(1 point) We will determine whether the series n3 + 2n an - is convergent or...
(1 point) We will determine whether the series n3 + 2n an - is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series bn for comparison (this series must also have positive terms). The most reasonable choice is ba - (choose something of the form 1/mp...
00 Does the series Σ (-1)". n n+6 converge absolutely, converge conditionally, or diverge? n=1 Choose...
00 Does the series Σ (-1)". n n+6 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. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Tes O B. The series converges absolutely because the limit used in the Ratio Test is O C. The series diverges because the limit used in the Ratio Test is...
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...
The three series A,, > Bn, and Chave terms 1 В, — 1 C - 1 А, %3 n Use the Limit Comparison Test to compare the follo...
The three series A,, > Bn, and Chave terms 1 В, — 1 C - 1 А, %3 n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or...
Use the Divergence Test to determine whether the following series diverges or state that the test...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
number 4 1. Find the limit of the following sequences (find lim an) n n a.)...
number 4
1. Find the limit of the following sequences (find lim an) n n a.) an = n +3 b.) an = V35n n- 2. Determine whether the following series converge or diverge. -3 (n + 2)n + 5 b.) tan-'(n) n2 + 1 a.) 5 nel 3. Determine the radius of convergence and the interval of convergence of the series 2" (x – 3)" n n=1 n=0 (-1)", 2n 4. Using the power series cos(x) (2n)! (-« <...
number 4 as clearly as possible 1. Find the limit of the following sequences (find lim...
number 4 as clearly as possible
1. Find the limit of the following sequences (find lim an) n n a.) an = n +3 b.) an = V35n n- 2. Determine whether the following series converge or diverge. -3 (n + 2)n + 5 b.) tan-'(n) n2 + 1 a.) 5 nel 3. Determine the radius of convergence and the interval of convergence of the series 2" (x – 3)" n n=1 n=0 (-1)", 2n 4. Using the power series...
What is the limit of the sequence -1 sin 1 Does not converge 21 12 1 What is the sum of 13 13 12 1 13 None of the above 3) 2 5/2 Evaluate 0 7n 125/2 4) 2 (ln n true false The series converges 5) 2n2 1 The series converges The series diverges. 3n36 Using the limit comparison test The test is inconclusive determine whether the series converges or diverges.
What is the limit of the sequence -1...
(1 point) The three series ^A,, ^ Bn, and > Cn have terms 1 An n 1 В, %3 1 С, —- = Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the...
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
(1 point) We will determine whether the series n3 + 2n an - is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series bn for comparison (this series must also have positive terms). The most reasonable choice is ba - (choose something of the form 1/mp...
00 Does the series Σ (-1)". n n+6 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. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Tes O B. The series converges absolutely because the limit used in the Ratio Test is O C. The series diverges because the limit used in the Ratio Test is...
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...
The three series A,, > Bn, and Chave terms 1 В, — 1 C - 1 А, %3 n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
number 4
1. Find the limit of the following sequences (find lim an) n n a.) an = n +3 b.) an = V35n n- 2. Determine whether the following series converge or diverge. -3 (n + 2)n + 5 b.) tan-'(n) n2 + 1 a.) 5 nel 3. Determine the radius of convergence and the interval of convergence of the series 2" (x – 3)" n n=1 n=0 (-1)", 2n 4. Using the power series cos(x) (2n)! (-« <...
number 4 as clearly as possible
1. Find the limit of the following sequences (find lim an) n n a.) an = n +3 b.) an = V35n n- 2. Determine whether the following series converge or diverge. -3 (n + 2)n + 5 b.) tan-'(n) n2 + 1 a.) 5 nel 3. Determine the radius of convergence and the interval of convergence of the series 2" (x – 3)" n n=1 n=0 (-1)", 2n 4. Using the power series...
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