Which of the following information is correct for the sequence 4 dx 6. dx 8. 1 r dx dx - n31 8. 6. 1 2 X 1 (a) The sequence an diverges to +oo (b) The sequence fan diverges to -m (c) The sequence an} converges to 0 (d) The sequence an converges to 1 (e) The sequence an converges to 2 Seçtiğiniz cevabin işaretlendiğini görene kadar bekleyiniz. Soruyu boş bırakmak isterseniz işare O DD CO 01 d26-0fc42964266c.ong

Q: What are all of the values of x such that (-1)"*" (3x)" converges? 10 x>0.20 3. r>3.40 1/3

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Q: sin N 8) Show that converges/diverges.

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Q: {1- The sequence is en (i) 0 (ii) 1 (iii) None of these

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Q: [n^2cos(n/2)] / 2n^2 +1 does this sequence converge or diverge & w

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Q: Which of the following information is correct for the sequence 3 dx 1 dx 1 dx dx {an}n=1 | 5. 7. (a)…

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Q: Petomim whemer mi sunes conmerges If it hnd ti r Conver dhverget. um. -n-2 n² + Tn 12 n=1

A: Check whether the series ∑n=1∞6n2+7n+12+4-n-22n converges or not. If it is convergent, then find the…

Q: for sigma infinity n=1 3/2^n-1 find the sequence of partial sums

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Q: ^n for all n>=6

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Q: Use this function to show that 1+(1/3^2)+(1/5^2)+...=pi^2/8   f(x)=.5-(Summation from

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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: B){(sin(x))/x

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Q: Prove that this sequence is monotonic: an = cot-n

A: ANSWER

Q: Determine if the sequences converge or diverge.  an = (ln n)/ln 2n   an = e^-n ln n   an = (3n…

A: • Sequence 1: Inconclusive • Sequence 2: Converges (e^-n dominates) • Sequence 3: Converges…

Q: What is the value of the sum n (*) n | 3"-k2k k k=0 6^n 9^n 5^n 1

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Q: Use limit comparison test for sum of n=1 to ♾ of (3n^3+2)^(1/2)/(8n^2+9n+1)

A: take bn = 1/n  we know that if limn→∞anbn= finite  then by limit comparison test both series behave…

Q: 4n2 Determine if the sequence {an}I with an= converges. If it converges write its limite if it…

A: Given Data The sequence formula an is:     The expression for the limit of sequence an is,

Q: 9. The series 3k+ (k+1)* is Convergent Divergent

A: We will solve the following.

Q: What is the summation from n = 1 to infinity, of  (3^(n+1)) / 5^n + 1 ?

A: Given that,       ∑n=1∞3n+15n+1

Q: Only use epsilon defination , Let be a sequence of positive terms such that pn-> p show that…

A: We apply only Epsilone defination.

Q: what is the summation where k = 1 of e^-2k

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Q: Which one of the following .10 sequences converges to_0 An = tan'(n) An = 2 %3D An = 2 (In n)² V An…

A: Given: We have to check which one of the sequences converges to 0

Q: . (-1)*+1 47. k=1 (k+1)!

A: We have to check

Q: 1 Find the limit of the sequence n %3D 8, а. b. 1 с. 0 d. 1 e. The limit does not exist. -/2

A: limn→∞1n9/2The limit of the quotient is the quotient of limits:=limn→∞1limn→∞n92The limit of…

Q: Evaluate the following sum. 75 1 (i+ 1)+ i=2 (i- 1) IM

A: Solution: ∑i=2751i+14-1i-14 Here we are using an online tool to solve the summation.

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.