1 3. En=1 (2n+1)3

Q: +00 E Un where s, = u1+...+un Vn +1 n=1

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Q: Find the converges or diverges.

A: Here I attached the detailed explanation to the questionExplanation:Solution:

Q: +o0 Σ)

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Q: =1 nº+1

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Q: 2. 8[][

A: The objective of the question is checking the convergence or divergence of the given series.

Q: Which converge and diverge?

A: In this question, we have given four multivariable functions. for each of them, we have to check the…

Q: (3n)" (2n + 50)" n=1

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Q: Š V2n-5 n=1 n2- 3n +4

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Q: cos² (n) CoS Σ n3/2 n=1

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Q: 10. Find the area insquare units, bounded above by flyl a4x*+ 9x-24 and below by gli -5x421 x +3 36…

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Q: 1 3 .5 4 X +x

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Q: 00

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Q: 8. 27 n=3

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Q: E (1) (-1). Incn) Incn) + l000 ne50

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Q: 5n – 1 8) Σ 7n n=1

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Q: b. Eel/n – el/n+1 n=1

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Q: dx x² + 4

A: A detailed solution is given below.

Q: k+ln k > ak, where aj = and ak+1 ak k+10 %3D k=1

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Q: an = (-1)" η2 + 3 3η2 + 2n + 1

A: To determine if the sequence is convergent or divergent, we can examine its behavior as n approaches…

Q: 00 Σ nsin n=1 31

A: The given problem is to check whether the given series is converges or diverges.

Q: .2 x+15 dx Jx* +3 1

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Q: /5 too dr Vx-1

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Q: finding if this converges or diverges

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Q: Determine the behavior of the following SEQUENCES. 3n+sin(n² } The sequence The sequence The…

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Q: 4 Vx? +15 ² +15 dx Vx* +3 4 ! 1 dx Jx' +x° ,5 3 ,5 x° +x'

A: Please see the below picture for detailed solution.