For the sequence given below, • show that the sequence is convergent (don't evaluate the limit, just show convergence) • Upload your solution (with all details and explanations) as a pdf file (you should use "adobe scan" on your cell phone just like the midterm ). 1 X> =- + 3 1 1 X3 4 4 1 + 1 X1: ....

Q: 3 Jlgull Every pointwise convergent sequence is unif ormly convergent sequence . ulgn O

A: Note : A uniformly convergent sequence is always pointwise convergent (to the same limit), but the…

Q: Prove that the sequence ((-1)")=1 does not converge to any number.

A: Solution :- The given sequence is                          {  an }   =   { (-1)n}  then , we have to…

Q: What is the function that defines the following sequence?10,12,14,16,18

A: given sequence:-     10, 12, 14, 16, 18 This is an arithmetic sequence  since there is a common…

Q: c) an = (−1)n In

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Q: Proofs Task 4 (portfolio). Let an be a sequence decreasing to zero. Prove that En-1(-1)"an…

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Q: Justify 5 For the sequence an = (^3) + mln (m³) 0(?) e am= 0(?) 2 find: am Justify your answers.

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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: For the sequence given below, show that the sequence is convergent (don't evaluate the limit, just…

A: Given: x1=12,x2=13+14,x3=14+15+16,...

Q: Formulas that may be useful: a_(n)=a_(1)+(n-1)d a_(n)=ar^(n-1) Find the indicated for the following…

A: As we know that nth term of airthmatic sequence an = a + ( n - 1 )dnth term of geometric sequence an…

Q: why sequence Xnk approaches +infinity and why sequence Xmk approaches -infinity. Why would one use…

A: To determine whether the sequence ( n sin(n) ) is divergent and whether the limit approaches…

Q: What is the 9th term of this sequence ?

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Q: Determine the convergence or divergence of the sequence whose nth term is An=sqrt(n+2)-sqrt(n). If…

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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: (-1)"n An n +1

A: We have to evaluate the limit of the sequence an=-1nnn+1.

Q: Show the recursive function for the following sequence.......... 2, 5, 8, 11, 14..........n.

A: Here the sequence is 2,5,8,11,14,.......... We have to find the recursive function.

Q: > The sequence {sin)} is n31 (i) Converge (ii) Diverge

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Q: • show that the sequence is convergent (don't evaluate the limit, just show convergence) • Upload…

A: The sequence is given by : x1=12x2=13+14x3=14+15+16 The sequence resembles the type of 1n. As by…

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

A: Please find the answer in next step.

Q: 3. Show that the sequence ɑn 1+ is a Cauchy sequence. Hint: Every convergent sequence is a Cauchy…

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Q: a bounded sequence that is not convergent. (b) A sequence that is unbounded but it does not tend to…

A: We have to find out example of sequence with the given conditions.

Q: is limit.

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Q: Let (an) be an increasing sequence of real numbers bounded from above and (bn) be a decreasing…

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Q: you want. 1. Prove that the sequence an converges. The sequence is defined by ao = Task 2. Let an be…

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