Find the limit of the sequence, or show why it doesn't exist, an = n4-(n8-n5)1/2.

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 or determine that the sequence diverges. {((-1)n + 1…

A: We first divide the numerator and the denominator by n^3

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

A:

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

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 limit of the sequence. 4n2 a 2 n* + 3

A:

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

A:

Q: 7n 7 An бп + 1

A:

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

A:

Q: Find the limit of the sequence as n approaches infinity: 3n - 5 an Зп + 4

A: Given,            an=3n-53n+4To find: The limit of the sequence as n approaches infinity.

Q: Find the limit of the following sequences or determine that the sequence diverges. { (1 +…

A:

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

A: we have givenan =5n+75n

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

A:

Q: Find the limit of the sequence with the given nth term an = (n + 1) /n

A: an = (n + 1) /n We need to find the limit of the given sequence.

Q: 1 + 2n

A: Given query is to find the limit of the sequence.

Q: le" + 3n,

A: Given query is to find the limit of the sequence.

Q: determine the limit of the sequence or show that the sequence diverges. an = 10n/n!

A: A sequence is convergent if the limit for the sequence exists as n approaches infinity, if no limit…

Q: Find the limit of the following sequence or determine that the sequence diverges. {2n + 13-n}

A: The given sequence is {2n + 13-n}.

Q: 2n3 {(-1"ア+! 十3 n=1

A: Notes:limn→∞an exist if and only if all the subsequence converges to same limit.Suppose, limn→∞an =…

Q: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A: The sequence is: 1, -22, 34, -48, 516, ..... This can then be written as:

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

A: We are given

Q: Find the limit of the sequence or show that the sequence diverges. 4/x An = (3e2x + 10)*

A:

Q: Find the limit of the sequence as n approaches infinity: Зп - 5 an 2n + 9

A:

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

A:

Q: (-1)"n An n +1

A: We have to evaluate the limit of the sequence an=-1nnn+1.

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

A:

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: Find the limit of the following sequence or determine that the sequence diverges. 11 +

A:

Q: Find the limit of the sequence an= 3n−4/2n+3

A:

Q: n2 +1 2n2 +n – 2

A:

Q: 3. Explain why the following sequence does not have a limit: a, = (-1)".

A: Solve the following

Q: Find the limit of the sequence with the given nth term an = 2n /√(n2 + 1)

A: The given sequence is an=2nn2+1. Compute the limit as follows.

Q: Find the limit of the sequence with the given nth term.

A: To find the limit of the sequence whose nth term is an=6+2n2

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: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A:

Q: Find the limit of the sequence defined by an n + 1 %3D 4"

A: The given sequence an=n+14n

Q: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A:

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

A:

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

A:

Q: 2n br 3n

A:

Q: Evaluate the limit of the sequence or state that it does not exist. an = ((2n + 2)!)/((2n)! n2)

A: Consider the given nth term of the sequence, an=2n+2!2n! ·n2 Since, 2n+2!=2n+2· 2n+1· 2n! Then,…

Q: lim n-78 √√3n+2 3ntz 1 h

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(n)}

A: Given sequence, an=-1nn

Q: Find the limit of the sequence with the given nth term. 7n + 1 an 7n

A: Given: an=7n+17n

Q: Find the limit of the sequence whose nth term is an = (1+1/ n)n .

A: We have to find the limit of the sequence whose nth term is: an=1+1nn Finding limit of the sequence,…

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

A: Consider the provided expression, e3n+4n Find the limit of the following sequences. Let y=e3n+4n We…

Q: Find the limit of the sequence. 3n2 an n2 + 9

A: an=3n2n2+9 if limn→∞an=L then the sequence is converges if limn→∞an=∞ then the sequence is diverges…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.