Vnt+3 n=0 O diverges O converges

Q: (x-2) What is the convergency interval of O aR O b. [1,3] O (1,3) O d. (-1,5) O e (-1,5]

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Q: nyn+1 n=1 O converges O diverges

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

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Q: nl n-1 lim O converges O diverges

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

Q: n2 - 3n n3 + 5n + 2 lim = L > 0 O converges O diverges

A: Convergence is a property of a mathematical object, considered as a sequence is convergent.…

Q: exmine if HS Convergent or divergent a) 2n²+3 8n7 7ntG

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Q: n²x, 0<x<1/n fm (x)== { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}

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Q: 3n 00 En=1 n е — 2 e

A: Given series is ∑n=1∞3nen-2n

Q: dx 3 (x-1)3 Select one: O a. diverges O b. converges to 1/16 O c. converges to 1/2 O d. converges to…

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

A: To solve the following problem

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

A: CONVERGES

Q: ( n²x, 0<x<1/n fm (x)={ --n²x+2n, 1/n<x<2/n L 0, 2/n<x<1 uniformly convergent on [0, 1]?

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Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

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

Q: 00 2 L 3n + 1 n = 1 dx = 3x + 1 converges O diverges Need Help? Master It

A: We have to check whether given series is convergent or divergent series using integral series test.

Q: Q(3) The sequence 2n – 4n3 3n7 + n3. (a) Converges to: (b) Diverges (c) Converges to

A: Explanation of the solution is given below...

Q: n 2n – 1 n=1 Does this diverge or converge? Explain your answer.

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Q: S n°x, 0<x<1/n fm (x)={ --n²x+2n, 1/n<x<2/n L 0, 2 n<x<1 uniformly convergent on [0, 1}?

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Q: 2" n3 Σ 4"+1 n=1 is convergent or divergent.

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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: 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

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

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Q: n + 3 {Asequence n + 4 Sn=1 converge to e converge to e-lO converge to ei diverge

A: Given:           Sequence ∑n=1∞n+3n+4n     By limit comparison test   If limn→∞anbn=∞ ,then ∑n=1∞bn…

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

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Q: n = 1 Vn lim n-00 converges O diverges

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Q: 8 csc(x) dx 7/2 O convergent O divergent If it is convergent, evaluate it. (If the quantity…

A: Converges and diverges of series

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

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Q: +o0 Зп? — 4 >Un where sn = u1 + u2 + · · · + Un 3n2 + 4 n=1 convergent O divergent

A: The given series is  ∑n=1∞un, where sn=u1+u2+⋯+un=3n2-43n2+4. We also, know the theorem that a…

Q: dz Either show that the improper integral converges and find its value, or show that it diverges O…

A: To find if the given improper integral converges or diverges.

Q: SELECT ALI n! (2n – 1) A) converges by Divergence Test 2 B) a, = 1.3-5 ..... 2n C) diverges by…

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Q: nºx, 0<x<1/n fm (x)= { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}?

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Q: 00 1 2 + e¯n n = 1 O convergent O divergent

A: Given: ∑n=1∞12+e-n To check: Convergent or divergent.

Q: Q(3) The sequence 4n3 3n7 + n3 2n7 (a) Converges to (b) Diverges (c) Converges to

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

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

Q: 6. S o Inx dx Evaluate it and state whether it converges or diverges. 1 х2

A: Given: I=∫0∞lnxx2dx

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

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Q: n²x, 0<x<1/n fm (x)== { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<I uniformly convergent on [0, 1}?

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Q: dx is convergent V2 1 True False 1, 8.

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Q: 은 hzl 3n+2 2n+3 h

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Q: Inx? x² –1, 2 x=2 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges 8.

A: In both cases we use comparison test.

Q: 00 dx O a. converges to 2 O b. diverges to od O C. converges to 1 O d. converges to -3 O e.…

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Q: 5) Does vergent? (-1)"n Ln=1 \n³+2 converge absolutely, converge conditionally, or di-

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Q: 11 dx Determine whether is convergent or not. (3 – x)2/3

A: As the value of Integral is finite, it converges.

Q: Σο (-1)*+1 5n1.1 n=1 A. absolutely convergent B. conditionally convergent C. divergent O00

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Q: ΣΗ [2m – 2 2m т+1 п+2 m=2 Is the series divergent or convergent?

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

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Q: nºx, 0<x<1/n fm (x)= { --n²x+2n, 1/n<x<2/n L 0, 2/n<x<1 uniformly convergent on [0, 1]?

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Q: SELEC A) converges B) diverges C) D)

A: The given series is: ∑n=2∞1n3-n

Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

A: