show whether converges or not and explain

Q: Determine whether the sequence is convergent or divergent.

A:

Q: Determine if converges or diverges. If it converges, determine what it converges to.

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 4"

A:

Q: (a) Give an example of a bounded monotonic sequence that converges to 2.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: 00 Show that converges if [r| < 1. п: п

A: The given series is

Q: +o0 Σ)

A:

Q: 4か さ n=0

A: To determine whether the given sequence converges or diverges.1+4n4nn=0∞

Q: 32

A: Given : ∑n=0∞-32n

Q: =1 nº+1

A:

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

A: If the limit of the sequence exists and finite then sequence is convergent.

Q: Determine if the sequence is convergent or divergent. If it converges, find the limit.

A: Given,  nln2+1nn=1∞ We know that ,an=nln2+1n

Q: converges

A: Given that: The series ∑ n = 1∞ 3+4 cos nn2 .

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

A: Find the attachment

Q: Which converge and diverge?

A: In this question, we have given four multivariable functions. for each of them, we have to check the…

Q: (1.1.1-4-3-3-4-6,...} 1, 3, 2, 4, 3, 5, 4, 6, { {

A:

Q: Show that the sequence (x,) = () convergence.

A: We have to use limit n tends to infinity.

Q: Determine whether the sequence converges or not. Find the limit if it converges.

A:

Q: Show whether or not the sequences below converge. If a sequence converges find the limit. Explain.

A: Solution is given below:

Q: Determine whether the seauerce converges or diverges. If it conve ges, find the 100 loon 100 an- +…

A:

Q: 21.) Converge or diverge? Explain. En=1 3n - п!

A:

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: Determine if it converges or diverges

A: Given series is ∑k=2∞(-1)kk2k2+3k-1 expanding we can write as ∑k=2∞(-1)kk2k2+3k-1=49-917+1627-...

Q: Determine whether the sequence {(3" + 5")/"} is convergent or not.

A:

Q: Determine whether> ()" diverges. If it converges, find the converges or sum.

A:

Q: Determine whether the sequence an= 1^3/n^4+2^3/n^4+...+n^3/n^4 converges or diverges. If it…

A: To discuss the convergence or otherwise of the given sequence

Q: Determine if the sequence an = n sin(π/n) is convergent or divergent. If converges, find the value.

A: We will check the value of an as n approaches ∞

Q: b) Decide if the sum converges or diverges. If it converges, find the sum.

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Q: (n2 +1)2 n=1 2.

A:

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

A: Convergence of sequence: A sequence an is convergent if limn→∞ an=L , for some finite real number L.

Q: Determine if the following converge or diverge.

A:

Q: Every bounded sequence converges. True or False?

A: False

Q: state whether Converges diverges

A: To state whether the given series converges/diverges. ∑n=1+∞-1nnnsinn1n2n

Q: find the interval of convergence.

A:

Q: If limkoo ak 0 then Eak is convergent.

A:

Q: Determine whether converges or diverges. Show complete solution.

A:

Q: a, = 23+!

A: Sequence and it's it's convergence

Q: converge absolutely, converge conditionally,or diverge?

A:

Q: 3. Determine whether the sequence an = limit. x + 3 In x converges or diverges. If it converges,…

A:

Q: (a) Determine whether {an} is convergent.

A:

Q: b) E, 2n-1

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Q: Is the statement always, sometimes or never true? Briefly explain in words. (-1)"a, converges, then…

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Q: Find if sequence converges or diverges

A:

Q: an こレ しカ+ 0 then show that let converges. Converges

A: The given problem is related with the series convergence. Given that an≥0 , for all n∈ℕ .  Also,…

Q: Determine whether the real sequence of convergent or divergent sequence. n+3 converges by using the…

A: This is a problem of sequence.

Q: In(n) An

A: we limit is finite then sequence is converges

Q: The sequence convergent to Answer:

A: The solution is in step 2

Q: Determine whether each statement is true or false. If the statement is true, prove it. If the…

A:

Q: Determine if each of the sequences converges or diverges. If it converges, state to what. Clearly…

A: We havean=n−5n−1

Q: an always converges. If two positive sequences {an) and {b,) converge, then the sequence Select one:…

A: Let the given sequence an converges to a  and  bn converges to b.