Given the expression an = V4n² + 3n – 2n for n >1 Check whether this is convergent or divergent: {an}1 100 In=1

Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

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Q: sin-(r) d.r VI- 4.

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Q: Find the limit of the sequence: 3n² + 3n+6 ап 7n² + 7n +9

A: Step 1: The limit of a sequence is the value that the terms of the sequence approach as the index n…

Q: an=e е -n n (6e² + 1)

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Q: What is an example of a sequence that converges to 5?

A: A sequence is convergent to a point "P" , if there is a point "P" which repeats infinitely many…

Q: Given the sequence an +4): In 2+ This sequence is Select an answer This sequence is Select an answer…

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Q: Determine whether the sequence is monotonic and whether it is bounded. sinyn an

A: It is required to check whether the given sequence is monotonic and bounded.

Q: Two bees leave two locations150  meters apart and fly, without stopping, back and forth between…

A: Given information: Two bees two location 150 meters apart and fly, without stopping back and forth…

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of…

Q: +∞ Σ n² – 3n + 2 n=3

A: The sum of the given series is 5.

Q: al = /3 , a2 = V 3- V3 , V 3 - V 3+ v3+ .. + V3 ....

A: We have to find the limit of the sequence…

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

A: Please find the answer in next step.

Q: an + an-1 An+1 Vn +1 (a) Find the limit of an as n → ∞ and give a proof. converges for a,n from part…

A: Given, an+1=an+an-1n+1 the sequence is all positive number. (a) we need to find the limit of an as…

Q: (2r + 3)" =1' V 2n +n – 1

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Q: n=1 (n!)" (n²n)

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Q: Solve the problem. The total cost in dollars for a certain company to produce x empty jars to be…

A: C(x)=0.6x+23,000

Q: Can you further share how to find a convergent sequence

A: Given sequence  by  Here we consider two subsequences .Noted that A sequence  is convergent   are…

Q: (х-2)" n=' (n+1)3" 00 a.

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Q: please include also the interval of convergence in the solution. thank you.

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Q: Q5. Central limit theorem (Exponential distribution) Suppose X1,..., X„ are independent and…

A: Suppose X1,X2,....,Xn are samples from a distribution with a mean µ and standard deviation σ. Then,…

Q: If it converges, what is its limit? Provide some justification for your answer. If it diverges,…

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Q: n+1 4) Para la serie de potencias (x-2)** halla el intervalo de convergencia. a) (-2,6) b) [-2,6] c)…

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Q: en k%3D1 00

A: We will use Cauchy root test

Q: State the limit of the follow sequence, and explain your reasoning in detail: lim n TL-> ర0

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Q: Given that {an}n=1_is convergent such that a1 = V5 and an+1 V5 an- %3D Solve for lim an n 00

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Q: te convergent, conditionally convergent, c +∞ Σ n=2 (-2) (Inn)|n

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Q: (-1)"+12nx" n2 + 3 n=1

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Q: Σ S(0.881)" n=1 8.

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Q: Can an expert please look over my work and see if i solve the problemss correct. If it is wrong…

A: All explanations are correct. Note that, by definition of limit of a sequence holds that for every…

Q: How can you know if a sequence diverges or converges?

A: Answer :  We can know that a sequence is  diverges or converges ,  We have to remember that of a…