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A: Given: fx=4x3+2x2+x+3 gx=3x4+3x3+3x2+x+4 are polynomials in ℤ5x. To find: fxgx for the given…

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A: The objective of the question is choose the correct option.

Q: 5n 3) Determine if the sequence a, = converges or diverges. If it converges, find the limit 2n +1…

A: Explanation of the answer is as follows

Q: 23

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Q: Consider the following sequence where f(1)=23​. 23,32,41,50,59,…​a) What is the common difference,…

A: The given sequence

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A:

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A:

Q: ((7) 2c-4 lim.

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Q: 1. Find the limit of the sequence {√3, √√3+√√3, √√3+ √√3 + √3,...}.

A:

Q: Every convergent sequence of real numbers is not bounded ylgn İhi

A: Every convergent sequence of real numbers is not bounded.

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A:

Q: Let (a,) be a Cauchy sequence of nonzero real numbers. Which of the following statements about (a,)…

A: using the concept of cauchy sequence and algebra of limit ,  we have

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A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: 2n + 3 Which of the following is true about the sequence (a,) where a, = 5n + 4 (a) lim a, = +oo (b)…

A: Given that; an=2n+35n+4

Q: 10. Let {xn} be a sequence of real numbers. What does the limsup of this sequence mean?

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Q: 4n+3 Зп+ 2 {a,} = Зп — 4

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A: Given: ∃xPx∧∀xPx→Qx→∃xQx. We have to justify the steps of the proof: 1. ∃xPx 2. ∀xPx→Qx 3. Pa 4.…

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A:

Q: Suppose we have a recursive sequence ƒ1, ƒ2, ƒ3, . . .. For the purposes of this problem, it does…

A: Observe that in the inductive step, to determine fk+1, you need to know two step back fk-1. So, we…

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Q: Suppose {Pi} and {qi} are sequences of real numbers such that lim pn = p and lim qn = q. Give an e-N…

A: suppose pi and qi are sequences of real numbers such that   limn→∞pn=p  and limn→∞qn=qSo by…

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Q: i need the answer quickly

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Q: Let P₁, P2,... be a sequence obtained by an enumeration of the set Qn [0, 1]. Find the set of all…

A: Given: p1, p2, p3, . . . are the sequence obtained by enumeration of a set ℚ∩0,1. To find: The set…

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Q: (prore) using sequences とす、

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Q: Let the sequence 9n be recursively defined by go = 0, 91 = 1, 9n = In-1 +29n-2 for n ≥ 2. Show that…

A: Given recurrence relation:

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A: