needed help with detailed solution and answer for all the question as shown below thank you. question 1 part 1 question

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needed help with detailed solution and answer for all the question as shown below thank you. question 1 part 1 question

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needed help with detailed solution and answer for all the question as shown below thank you.
question 1 part 1
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Determine if the series converges or diverges. Give a reason for your answer. sin ? Σ on n=1 Does the series converge or diverge? 1 O A. The comparison test with shows that the series converges. n=1 1 OB. The comparison test with 8. shows that the series converges. 6 n=1 1 O c. The comparison test with shows that the series diverges. 6 n=1

Sill Σ on n=1 Does the series converge or diverge? O A. The comparison test with shows that the series converges. n n=1 1 OB. The comparison test with shows that the series converges. on n=1 M: M: M: M: 1 OC. The comparison test with shows that the series diverges. 6h n=1 1 OD. The comparison test with shows that the series diverges. n n=1

= Test: 7 - Infinite Series Use the integral test and a table of integrals to show that the series shown below converges. Σ en? n=0 Since the integral converges to the series also converges. (Type an exact answer, using a as needed.)

Use the comparison test to determine if the following series converges or diverges. cos? Σ 512 n n=1 Choose the correct answer below. 1 shows that the series diverges! O A. The comparison test with 5/2 n=1 co OB. The comparison test with cos?n shows that the series diverges n=1 Oo Oc. The comparison test with Ecos?n shows that the series converges n=1 1 shows that the series converges. 512 OD. The comparison test with n=1 n

= Test: 7 - Infinite Series Write the first three terms of the sequence. 4n-3 an n² + 4 The first three terms are a = 0, a2 = 0, and a3 = (Simplify your answers. Type integers or fractions.)

AEE/MEC1211 - Engineering = Test: 7 - Infinite Series Use the Ratio Test to determine if the following series converges absolutely or diverges. m² 1! Li-on n”(n + 7) Σ(-1 n172n n=1 Since the limit resulting from the Ratio Test is (Simplify your answer.)

Does the series (-1)n +1 ! converge absolutely, converge conditionally, or diverge? חל n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. 00 A. The series converges absolutely per the Comparison Test with - חל n = 1 B. The series converges absolutely because it is a p-series with p = OC. The series diverges because it is a geometric series with a O D. The series converges conditionally per the Alternating Series Test and because it is a p-series with p= 00 1 O E 70-1 The series converges conditionally per the Alternating Series Test and the Comparison Test with n=1 OF. The series diverges because the limit used in the nth-Term Test is not zero

E = Test: 7 - Infinite Series G 4 4 4 4 Find a formula for the n" partial sum of the series 4 + + th 7 49 + 4 + + ... and use it to find the series' sum 343 7-1 The formula for the n" partial sum, Sn, of the series is If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your O A. The series converges. The series' sum is (Type an integer or a simplified fraction.) B. The series diverges.

nite Series Question 7 of 10 > 4 4 4 th partial sum of the series 4 + - + 4 H- 343 + ... and use it to find the series' sum if the series converges. 7 49 71-1 th partial sum, sn, of the series is es, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. converges. The series' sum is Leger or a simplified fraction.) diverges.

Determine if the sequence is monotonic and if it is bounded. 2ngn an n1 2 n! Select the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. {an) is not monotonic. The sequence is unbounded with no upper or lower bound. B. {a} is monotonic because the sequence is nondecreasing. The sequence has a greatest lower bound of but (Simplify your answer.) OC. {a} is not monotonic. The sequence is bounded by a greatest lower bound of and a least upper bound when OD. {a}is monotonic because the sequence is nonincreasing. The sequence has a least upper bound when n= (Simplify your answer.)

pounded , fill in the answer box(es) to complete your choice. Inbounded with no upper or lower bound. but is unbounded because it has no upper bound. is nondecreasing. The sequence has a greatest lower bound of and a least upper bound when n= (Simplify your answers.) bounded by a greatest lower bound of but is unbounded because it has no lower bound. e is nonincreasing. The sequence has a least upper bound when n=

= Test: 7 - Infinite Series Determine if the sequence {any converges or diverges. Find the limit if the sequence converges. an = 1 + (0.6) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The sequence converges, and lim an = (Simplify your answer.) OA. n00 O B. The sequence diverges.

Determine if the geometric series converges or diverges. If a series converges, find its sum. 5 (19:00:0: + + + + + . Select the correct choice below, and fill in any answer boxes in your choice. 5 OA. (1)-09***O*:9* ( + + + + na 2 (Simplify your answer.) B. The series diverges.
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