Determine whether the sequence converges or diverges and if it converges find its limit. 1 * 3 * 5 *** (2n – 1) An = n!

Q: Find the limit of the sequence whose nth term is an = In(2n + 1) or show the sequence diverges. Be…

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Q: n+1 (-3)*1 3n n=1

A: Ratio test : Suppose we have a series ∑n=1∞ an then define  c=limn→∞ an+1an . If 0≤c<1 then the…

Q: Given the IVP y' =1 - 0.2y(t) + 0.25t , y(0) =1, h=0.5 approximate y(1.5) using Euler's method…

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Q: 4n²+5 + 2 n³ n 3. аn 4. аn %3D Vn3+1 II

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Q: Determine lim an for each sequence (a,} If the limit doesn't exist, explain why. 4n2 • a. an %3D 2n3…

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Q: Let D CR and (x₂) be a sequence in R. Show that x→x such that x € D if and only if D is closed.

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Q: (п +5)(п — 3) 1 | converges. If so, find its limit. n-1 Determine whether the sequence 4n?

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Q: 3. Determine if the sequence xn = 47² is convergent or not and find its limit if it exists n²+1

A: We want to find the given sequence is convergent or divergent.

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

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Q: (-9)"+1 Let an 10n Determine whether the sequence {an} is convergent or divergent. If it is…

A: an=(-9)n+110n A sequence is convergent if value of limit is define and finite as n approaches to…

Q: 6. Find the limit of the sequence. You should consider the behaviour of the continuous version of…

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Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: Find the limit of the following sequences. 5n+4 1. аn 3D 20 — n2 2. аn %3D 2n2+9

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Q: Determine whether the sequence with the formula {an} = e¯n sin n is convergent or divergent, if it…

A: The given sequence can be written as        {an} =  (sin (n)) / en

Q: 3. Parts of this problem are not related [3] (a) Find the limit of the sequence an = In(10n - 6) -…

A: The limit of a sequence with nth term an is given by the equation; L=limn→∞an

Q: Determine if the sequence find its limit.) 1 { ( ₁ + 3 / 2 ) ² } 3n is convergent. (Hint: see if you…

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

A: Solve the following

Q: Determine whether Σ(-1)^-1 is convergent. 1 √n +3 n=1 rk in order to roccio full in utiol onadit

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Q: Find the limit of the sequence {an} if it converges; otherwise indicate that it diverges, where 2.…

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Q: 63. bn = 3-4" 2+7.4" n

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Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 5/n an

A: The given sequence is an=5n5/n If limn→∞ an exists and it is finite then sequence an is convergent…

Q: •oodwi For any real sequence, lim Xn Yn = Tim (x₂) tim(yn)

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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.