The series Σ is (k+1)* k=1 p*k! a) Converges absolutely b) Conditionally convergent c) Diverges d) None of the above

Q: For which series monotone and bounded sequences theorem can be applied for the convergency? 2" a, =…

A: We have to find which series monotone and bounded sequence theorem can be applied for convergence.

Q: For which series monotone and bounded sequences theorem can be opplied for the convergency 2" a,…

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Q: Which of the following assertions is true for the given sequences? a) {(-1)" e"} converges п+1 b)…

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: The infinite sum Ea(n) A) S = a(n) has a finite limit B) none of these %3D converges if and only if

A: ∑n=1∞a(n) converges

Q: .(k+1)* The series is k=l p*k! a) Converges absolutely b) Conditionally convergent c) Diverges d)…

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Q: 12. Determine Converges a) = cos(n) which of the following series. b) = 1=1 c) 32² d) [(+)² 7-1 3 n

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: es 1 + (-3) + (- 3)² + (- 3)³ + (- 3)* + ...

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Q: how whether the following infinite sequences converge or diverge : 00 {an} = 2) {bn} = {Vn6 + 12n³ –…

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Q: 3)the sequence a) Convergent converge 1. z, nln(l+-)+; = -t is n 2n-1 b) divergent c) absolutely…

A: The given sequence is zn=nln1+1n+n22n-1i.

Q: 1S niformly ) Let {n} be a sequence of real numbers and x E R. Suppose there exists M = N such that…

A: To prove that the sequence {xn​} converges to x, we need to show that for any given ϵ>0, there…

Q: Show whether each of the following series and sequences converges or diverges. If convergent, enter…

A: Divergent test : If limk→∞ ak ≠0 then ∑k=1∞ ak is divergent .

Q: 6. The sequence (xn) = (3,3,3,3, ...) is .. a) not Cauchy b) unbounded c) divergent d) convergent

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Q: n + 3 2n + 1

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Q: SELECT (n!)? (2n)! .()* B) is similar to G A) converges C) is similar to )" D) diverges

A: We will use Ratio Test to determine convergency

Q: Prove that the binomial series a(a – 1) a (a- 1)... (а — п) + | | (1+ x)ª 1+ ax + 2! n! +...…

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Q: 2. Let (an)1 be a sequence of integers. Prove that (an) converges if and only if there exists a…

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Q: etermine the convergence or divergence of ∞ ΣΕ n=1 (−1)n+1 3η

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Q: Σ converges/diverges N! 9) Show that

A: Ratio test

Q: (-1)* 6k +4 Consider the series k=1 a) Enter the p-series that can be used to determine whether the…

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Q: The series (k+1)* is k=1 p°k! a) Converges absolutely b) Conditionally convergent c) Diverges d)…

A: Given : series ∑k=1∞k+1kpkk! To determine the convergence of the series and choose correct option.…

Q: For which series monotone and bounded sequences theorem can be applied for the convergency? 2" a, =…

A: The given question is solved below.

Q: Determine whether the series is convergent or divergent. -1 (2n)!

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Q: (k+1)* The series is p*k! k=1 8

A: We have to use Ratio Test here.