use the appropriate limit laws and theorems to determine the limit of the sequence orshow that it diverges. cn = 1.01n

Q: Find the limit of the following sequences or determine that the sequence diverges: 1.

A:

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

A:

Q: Find the limit of the following sequence. (If it converges) a, =2, ano1 = 8+2a, O A. 2 O B. 4 O C.…

A: Given sequence is Clearly Therefore, the sequence is monotonic  and bounded sequence , so is…

Q: use the appropriate limit laws and theorems to determine the limit of the sequence orshow that it…

A:

Q: Determine whether the following sequence converges or diverges. If it converges, find its limit. 40n…

A: One simplest method to calculate whether sequence converge or diverge is calculate sequence at n…

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 3) an 1 + = В) е C)…

A: our objective is to find the limit.

Q: Compute the first six terms of the sequence {an} = {n√n}. If the sequence converges, find its limit.

A:

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

A: an=cos2n2n Now the domain of cosn is -1, 1. That is, ⇒cosn∈-1, 1⇒cos2n∈0,…

Q: Find the limit if the sequence converges and lim sup and lim inf if the sequences diverges (c and d)

A:

Q: use the appropriate limit laws and theorems to determine the limit of the sequence orshow that it…

A:

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

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

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

A: Use the comparative test to test the series. limn→∞un+1un or limn→∞un+1limn→∞un

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

A: ∫xn dx=xn+1n+1Divergence:∫a∞1xp dx =converge  if p>1diverge    if p≤1

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (2n 1)! (2n +…

A: To check whether the given sequence is convergent or not , we first find the limit of the given…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. Odiverges 3 5…

A: Use the given series for checking the convergence of series.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 9n

A: Obtain the limit of the given sequence to investigate whether the sequence converges or…

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: Determine whether the sequence converges or diverges. If it converges, find its limit. an ={5^n/1 +…

A: We have to check convergence of sequence:

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

A:

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence or show that it…

A:

Q: (-1)" . 2n 4 – 5n (-1)" · 2

A:

Q: In(8n2 + 8) – In(n²

A: We have to test the convergence

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

A: To show convergence or divergence we have to find  If this limit equals a constant then the…

Q: Determine whether the sequence is convergent or divergent. If it is convergent, find the limit. an…

A:

Q: (-1)" 50. Сп

A: To show that cn=(-1)n/√n diverges

Q: use the appropriate limit laws and theorems to determine the limit of the sequence orshow that it…

A:

Q: (2n - 1)! (2n + 1)!

A: Given: we have ax=2n-1!2n+1!

Q: Determine whether the sequence defined by 1/x converges or diverges. If it converges, find its…

A: The given sequence,   an=1+8n1n

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: +oo n+1 n=1 Determine whether the sequence converges, and if so find its limit. If the sequence…

A: an =nn+1a1 = 11+1 a1 =12a2 = 22+1 a2 =23a3 = 33+1 a3 =34a4 = 44+1 a4 =45a5 = 55+1 a5 =56

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

A: We have to check

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(2n)}

A: To Find  The Limit of −1n2n

Q: 82n 46. аn n!

A:

Q: (-1)" an 2yn

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (5n – 1)! An

A:

Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

A:

Q: Determine whether the following sequence converges or diverges, If it converges., find the limit 4n…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {(sin n)/(2n)}

A: The sequence an is called convergent if limn→∞an is a constant real number.

Q: 2n 1+ n

A: Given limit is , limn→∞{(1+1n)2n} We know that, limn→∞{(1+1n)n}=e

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

A:

Q: use the appropriate limit laws and theorems to determine the limit of the sequence orshow that it…

A: The given sequence is,

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

A:

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n –…

A:

Q: Let {a,}1 be a convergent sequence defined by a1 = V5 and an+1 = V5a,. Find lim a,.

A:

Q: Determine whether the sequence converges or diverges. If its converges, find its limit {n3 / (n3 +…

A: Consider the given sequence, n3n3+4 Use the theorem which states that, if ∑an converges then…

Q: Is the sequence given conveges or diverges? Use untill a5 and then prove your soution using the…

A: The given series is an=1+7nn

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

A:

Q: Use the Theorem of Sequence Defined by a Function to determine the limit of the sequence or state…

A:

Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. In (n + 4)…

A:

Q: 40. d, = Vn + 3 – yn

A:

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.