Determine whether the following series converges or diverges

Q: (3n)! 3 n! (nti)! (nt3).

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Q: cos(n/3) In n (1+:)*

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Q: q3 Determine if the series converges or diverges

A: Given: ∑n=2∞1n ln(n)

Q: ∞ <=1 k¹/4 k7/4 + ln(k)

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Q: Σ 1 1 2n 2n+1 n=1

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

Q: +∞ Σ x=1 -6 8 3-x 2x

A:

Q: Question 2 (a) Consider the following autonomous first order differential equation:- dx dt - x(x -…

A: Given differential equation: dxdt=xx-4x-2 We have to find the critical points and hence state the…

Q: (c) пcos (пп) 2n n=1 Hint: For part (c) write out a few terms to see the behavior of this series.…

A: We have to find out converging &amp; diverging nature of given series .

Q: Indicate if the following series converge or diverge.

A: Here is the solution

Q: Determine whether the series converges or diverges.

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Q: 3n + 2 5n + In(n)

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Q: en+1 un=1 пеп+1 (-1)1-1(п+1) En=1 п (-1)n+1 n=1 n6

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Q: E(-1)" (~1)nn! n=1 en

A: Given series:-       To find:- Given series is convergent or not

Q: Suppose that E °n·x" converges when x =-. 4 and diverges when x = + 6. n=1 What can be said about…

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Q: +00 (5 – 4(ln n)³)" Σ (V3 . In n)3n n=2

A: Given series is ∑n=2+∞(5-4(ln n)3)n33·ln n3n

Q: En=1 2n –1

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Q: Determine whether the series converges or diverges.

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Q: 00 5n + sin?n + sin²n 3n - |sin n| n=1

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Q: verges by the Iegral T werges by the Roor Tet wrpes by the Tet for Divergence wpe by the Ratie Ten.…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: 00 2) 3) n3+5n²-17 n en n n=1 n =2

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Q: Determine whether the series converges or diverges.

A: