nyn+1 n=1 O converges O diverges

Q: The series Σ 6( − 1)*0.2-1.9/k○ diverges converges. k=0

A: We use ratio test to find the desired result.

Q: Find the sum of the convergent series.

A: The given question is taken from the sequence and series in which we have to find the value of the…

Q: 1. Vn2+n-1 n=1 O converges diverges

A:

Q: xp Vx(x + 5) converges O diverges

A: CONVERGES

Q: c) Show that the series Em+2 diverges.

A:

Q: In(k) k k = 1 O converges O diverges

A:

Q: ΣΗ In n n + 2 n = 1 O convergent O divergent

A: on using the limit comparison test  this series is divergent

Q: Σ-- E(-1)*+1 n=1 + 1 (") Put 'CC' below if the integral converges conditionally, 'CA' if it…

A:

Q: The series E(-1)"-1. Vn+1 is conditionally n=1 convergent, but not absolutely convergent. Select…

A:

Q: n=1n2 +1 converges using 2 n =1 diverges using n =1 converges using 2 n =1 diverges using n =1 else…

A: Infinite series is the sum of the infinite sequence. A series is convergent if the sequence of…

Q: 1.2 Determine whether or not the series of functions {Sn(x)} = {>*-1} converges uniformly k=1 on…

A:

Q: +00 (2n)! E(-1)"- 2" n=1 O divergent O convergent

A: The objective is to find the convergence or divergence of the series.

Q: Determine whether

A: Solution: Consider the given integral equation: J = ∫-11dxx1/3 Since the given integrand is defined…

Q: The series k=1 5( − 1)k+1 - kl.1 O converges diverges.

A:

Q: n√In(4n) n=7 O convergent divergent

A: Divergent. Test used is integral test.  If integral of the terms of the series is convergent then…

Q: 3n4 4n – 1 n=2 converges O diverges

A:

Q: 1.2 Determine whether or not the series of functions {S„(x)} *-1} converges uniformly k=1 on [-a, a]…

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Q: cos(nT) n=D1 converges conditionally in Select one: O True O False

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Q: Σ-). Vn? – 1 n=2 A. conditionally convergent B. absolutely convergent C. divergent

A:

Q: +00 (-1)" n! n=1 O convergent O divergent

A:

Q: The series E n=0 converges to 2+/2 Select one: True O False

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Q: Vn + 5 Σ 3n2 + n + 1 n = 1 O converges O diverges

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Q: - 1)n+'] (a) Converges to Diverges .......... 5"

A:

Q: The sequence {G 3n+2 n=1 O None converges to e O diverges converges to Ve? converges to e3

A:

Q: ind the sum of the convergent series. +00 3n+1 Z 6n-1 n=0

A:

Q: +00 In n E(-1)" n2 n=2 O divergent O convergent

A: I have used the Lebnitz rule or Alternating series rule and find that given series is  CONVERGENT

Q: 8n 4n2 n = 1 + 1 f(x) = converges O diverges

A: Given query is to find integral converges or diverges.

Q: Determine whether or not the infinite series below converges.

A: Here the given series is

Q: B) > n! (4x – 6)" is convergent for x = n=1

A:

Q: Vnt+3 n=0 O diverges O converges

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: For which values of p does E=1 (1+eon)4p converge?

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Q: Find the sum of the convergent series: > (e1/(2n-1) – e1/(2n+1)) n=1

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Q: IV. Determine if the given is convergent or divergent. s In"(n*) 23n2 #4. n=1

A: Given series is ∑n=1∞lnn(n4)23n2

Q: 5. E-1 ne-" n=D1

A:

Q: Find the sum of the convergent series. 1 n vn + 1. n=16

A:

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

A: The given series  ∑k=1∞k+1kpkk! is ; a) Converges absolutely b) Conditionally convergent c) Diverges…

Q: 1dx x²+2x+5 -00 O diverges O None 37 converges to 4 converges to converges to converges to 3r

A:

Q: If |Xn+2 − Xn+1| < |¤n+1 − xn| for all n E N then (xn) converges. -

A:

Q: The sequence {C+1 In=2)"} N=1 converges to e² O None diverges converges to le converges to e³

A: The given sequence 3n+23n+1nn=1∞ The sequence can be written as follows:…

Q: n! +5) A) diverges cos 40320 B) converges

A: We will apply Ratio test to check convergency

Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

A:

Q: 1+! A) S diverges B) S converges absolutely n=1 1/2

A: Given that: S=∑n=1∞1n1+1n We have to check weather the given series converges absolutely or…

Q: n1/2 3+ cos (n) A) diverges B) converges Wi

A:

Q: the series : 2 3 3 5 Select one: a. converges absolutely O b. converges conditionally c. diverges d.…

A: Check the given series by limit comparision test.

Q: Vn+1 2(-1)r vñ+1 n+1 n=1 Odiverges O converges

A:

Q: dx is convergent a) true b) false O b

A: The given integral is: ∫1∞1x2dx To find it is convergent or divergent. The integral is convergent if…

Q: Determine if the given is convergent or divergent. E0, In" (n*) 23n2 n=1

A:

Q: 100 4 n=1 n3+2 4 diverges by comparison to L=1 4 O converges by comparison to E 4 O diverges by…

A: I will solve first question only as per answering guidelines. If you want other to be solved, post…

Q: The series (-1)"n²n! 2" n=1 O converges absolutely converges conditionally O diverges diverges…

A: Given series: ∑n=1∞-1nn2n!2nHere we have to check the correct option.

Q: 11. dx converges, so the series converges. x (In x)2

A: Here, we need to find the value of the definite integral. If the value exists then series converges…