1. State the limit of the graph below that represents a sequence. 60 50 а) 0 b) – 1.2 c) 8 d) +∞ 40 30 20 4 567 8 9x

Q: a) ɑn Зп+1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find the limit of the following sequence. 12 27 16' 25 48

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Q: D. By showing that any sequence in A U L has the same limit as some sequence in A, prove that A CAU…

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Q: Evaluate the limit of the sequence or state that it does not exist. an = (8n)/(n!)

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Q: In(n) En31 2.

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Q: 30. аn e4n/(3n+9)

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Q: 2n b) ɑn n²+1

A: b) To find the first five terms of the given sequence is: an=2nn2+1

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A: This is a problem on infinite geometric progression which is solved as shown below.

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Q: 2. Find the limit of the following sequences or determine that the sequence diverges. For credit,…

A: a Consider the given limit  2n3+nn3-4

Q: Find, if it exists, the limit of the sequence {a,}, where a,= nn.

A: The given sequence is an=n1n

Q: 3. Evaluate the limit of the sequence or state that it does not 2" + 5**1 exist. 5"

A: Limits exists and limit value is 5 .

Q: Evaluate the limit of the sequence or state that it does not exist. an = n - √(n2 - 1)

A: Given sequence is an=n-n2-1.

Q: Consider an infinite sequence of circles as in the diagram. What is the sum of the areas of all…

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Q: Consider the sequence {x} defined by n n+1 1+In(1/n²) ifnis odd Is the sequence divergent or…

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Q: 5. Use the definition of the limit of a sequence to establish the following limits. Зл + 1 (c) lim…

A: Solve for

Q: .What is the limit of the sequence an = [(n2 - 1)/(n2 + 1)]n

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Q: n· An Suppose that {a,} and {b,} are two positive sequences, and define c, = V3n² + bm If lim (a,) =…

A: Given Data : Two positive sequencean & bn,                       cn=n·an2n2+bn…

Q: Find the limit of the sequence as n approaches infinity: In – 8 an = 9п + 1

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Q: 5) Consider the sequence whose terms are s1 = 3.1, s2 = 3.14, s3 = 3.141, s4 = 3.1415, . continue on…

A: Given problem Given that   Consider the sequence whose terms are  s1 = 3.1 s2 = 3.14 s3 = 3.141 s4…

Q: Find the limit of the sequence or determine that the limit does not exist. n! an= 4n.7n

A: Consider the given sequence, an=n!4n·7n

Q: If {b,}-1 is a bounded sequence and lim,→∞ An = lim,-+∞ anbn? Justify. 0, what can you say about

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A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

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Q: %3D The limit of the sequence Z, =i" is a) 0 b) 1 c) does not exist d) n Answer OA OB Oc OD Submit

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Q: 10 The limit of the sequence a, = (1+ "is: %3D (а) — ез (b) el7) (c) e-3 (e) None) ()° (P) a O b O d…

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Q: A sequence s, is said to be bounded above If there is some number N such that S,SN.a O S N.b O…

A: Option (a) is correct

Q: » calculate: The limit of the sequence a, = 2n n+1

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Q: Evaluate the limit of the sequence or state that it does not exist. an = (n2 + 4)/√(4n4 + 1)

A: We have to find the limit of the sequence: an=n2+44n4+1 So finding limit, limn→∞n2+44n4+1 As it is…

Q: The limit of the sequence z, = Arg(-i+) is equal to Select one: -T O a. O b. O c. -3T O d. 2

A: The correct option is option (a) - π/2    The detailed solution is as follows below:

Q: The limit of the sequence Zn = Arg(-i+) is equal to Select one: -TO O a. O b. 21 -3T O d.

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Q: 4) What does the limit of the sequence {2 8-5n equal? n=1

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Q: Assume the terms of a sequence (a,) are given by the following formula: Find the limit of the…

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Q: 3"2"+3 {d,} =- 4" n! in.

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Q: If the sequence {a,} is defined as follows: Ha,=1, a,+1= 15-a, for n > 1 then as %3D %3D

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Q: Choose the letter of the correct answer. If (x_n) is a bounded sequence in R then there is a…

A: True,

Q: The limit of the sequence an= (1+)* -- is: 3n (a) – e (b) el7) (c) e-3 (e) None a b C d e

A:

Q: Consider the sequence {x} defined by n n+1 +In(1/n²) ifnis odd Is the sequence divergent or…

A: Since answering more than one question is not in our scope, rest can be reposted.

Q: 12. Compute the limit of the following sequences: 2 (a)

A: The objective of the question is computing the limits of the given sequences.