Write a formula for the nth term of a, of the sequence and determine its limit (if it exists). 1 2 3 4 5 3'4'5'6'7''

Q: Find the limit of the following sequence or determine that the sequence diverges. {(3n3-1)/(2n3 +…

A: We need to find the limit of {(3n3-1)/(2n3 + 1)} as n tends to infinity. If limit turns out to be 0,…

Q: Find the limit of the following sequence. 3n! an %3D (n+4)!

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {100(-0.003)n}

A:

Q: Find the limit of the sequence with the given nth term.  an = 6 + 2/n2

A: Given sequence is an=6+2n2. If ∑n=1∞an converges, then limn→∞an=0.

Q: Find the value of the limit for the sequence given | 1-9-17 (9n+1) (9n)

A: Given,          The limit for the sequence given as 1·9·17....9n+19n2

Q: Find the limit of the sequence with the given nth term. 3n + 5 an 3n

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: an=n+1-n+3 limn→∞an=limn→∞n+1-n+3limn→∞n+1-n+3=limn→∞n1+1n-n1+3n…

Q: Find the limit of the following sequences or determine that the sequence diverges. {(ln (1/n))/(n)f

A:

Q: determine the limit of the sequence or show that the sequence diverges. bm = 1 + (−1)m

A: The given sequence  has the formulabm = 1 + (-1)mWe can write this as bm = 0, 2, 0, 2, 0,…

Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A:

Q: Show the first five terms of the sequence. Determine whether the sequence converges, and if so, find…

A: Consider the given sequence:

Q: Find the limit of the sequence with the given nth term. 5n + 7 5n

A: we have givenan =5n+75n

Q: Determine whether the sequence converges or diverges. If it converges, find the limit.  a sub n = 3…

A: According to the given information, it is required to check whether the sequence converges or…

Q: Consider the sequence (2n/n+1) n∈N  Find an upper bound and the limit of this sequence, if they…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Given an = n33n + 9

Q: Evaluate the limit of the sequence or state that it does not exist. an = (-1)n (3n3 + 4n)/(6n3 + 5)

A: Given sequence: an=(-1)n(3n3+4n)(6n3+5) To find the limit of this given sequence:…

Q: 1. Find the limit of the sequence. When computing the limit, show all steps involved. 3n In 2 1 +…

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Q: Find the limit of the sequence with the given nth term. an = n + 3/n

A: We are given

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A:

Q: 5n2 +n + 2 An 10n? – 3

A: Given an=5n2+n+210n2-3Determine the limit of the sequence .

Q: Find if the sequences diverges or converges. If converegs, find the limit. 1. an=n1/n

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the limit of the following sequence or determine that the sequence diverges.

A: an=-1n nn Comparing with an=-1n bn, we get bn= nn

Q: Find the limit of the sequence {an} if 1 - (1)/(n) < an < 1 + (1)/(n), forevery integer n ≥ 1.

A: Given: 1-1n<an<1+1n where n≥1 We have to find the limit of the sequence an:

Q: Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence appears to converge,…

A: We have given sequence an+1=1+an2;a0=2

Q: Find if possible the limit of the following sequence: x[k] = ,k = 1, 2, 3, . The limit is (Type an…

A:

Q: consider the sequence (2n/n+1)_{n∈N}. find an upper bound and the limit of this sequence, if they…

A: We have to find limit and upper bound

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: 1. Find the limit of the sequence Зп+(-1)" An бn+5

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. n 6n…

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Q: Write the terms a,, a,, a3, and ag of the following sequence. If the sequence appears to converge,…

A:

Q: Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence appears to converge,…

A: Given: an=3+cos πn; n=1,2,3... To determine: The first four terms of the given sequence. Also, to…

Q: 'ind the general term of the sequence, starting with n = Determine whether the sequence converges,…

A: Topic:- sequence and series

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: Sequence: It is an arrangement of objects or a set of numbers in a particular order defined by a…

Q: Write the first five terms of the sequence, give the exact answer: +00 n n + 17 n=1 Determine…

A:

Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. n 11 1+ n2…

A: Explanation: A sequence converges if limit tending to infinity exists and is unique while it…

Q: Find the limit of the sequence with the given nth term. бл + 5 a 6n

A: we will find the limit of the given sequence.   We know  ,  1/Infinitive  = 0 .

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges,…

A:

Q: Find the limit of the sequence: In? + 1n + 3 an 9n2 + 8n + 1

A: Question is solved.

Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

Q: Find the limit (if possible) of the sequence with the given nth term. (If an answer does not exist,…

A: To find the limit of the sequence we take n→∞.limn→∞an

Q: Find the limit of the following convergent sequence. 72 a, = 4, an+1 1+ an О А. 5 В. 3 О С. 8 D. 4

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A:

Q: determine whether the sequence converges or diverges. If it converges, find the limit.

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A:

Q: n (1+)" 66. An n2

A:

Q: Find the limit of the following sequences, showing all necessary work. State whether the sequence…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If 7+ 2n2 an…

A: We have to find out limit

Q: determine the limit of the sequence or show that the sequence diverges.

A:

Q: Find the limit of the following sequences or determine that the sequence diverges. { ((n)/(n + 5))n}

A: Given: The given series is an=n(n+5)n The series is divergent if limn→∞an≠0 else the series is…

Q: (E) The sequence defined by a, =1, a=-a, converges to 1. e

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.