s: find the sum of the series or show that it diverges

Q: o Determine whether the series is FFLEPU comvergent divergent en 4. n(nti) A=t

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Q: Evaluate the telescoping series or enter DNE if it diverge 1 n-1 n5 (n+1)6 DNE D 2

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Q: Evaluate the series or state that it diverges. k 3 (8 6. k= 1 9.

A: The common ratio of the first part is 1/7 and the common ratio of the second part is 8/9 Both are…

Q: Σ (1+ 깊)" 100 Does this series converge or diverge?

A: Recall: Cauchy Root Test:      Let ∑n=1∞an is a series of positive terms such that  limn→∞an1n =L.…

Q: Determine if each series converges or diverges and state which test justifies your conclusion. n V3…

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Q: n4 . 4" n!

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Q: 2n + 3" 3И + 47 n=1

A: The given series ∑n=1∞2n+3n3n+4n The test used is ratio test . Let ∑n=1∞an be a series . Then…

Q: Evaluate the series or state that it diverges (3 3. k 2( k 3 4 7. k%3D1 4.

A: The given series is the sum of the geometric series.

Q: 3" +2" 6" n=D1

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Q: Q3. Is the series E-", divergent? n=1 N + 3 ´n +

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: We will apply the ratio test to figure out if the series is convergent or not. Let's take the ratio…

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: To determine whether the series convergence or divergence.

Q: (b) Find the sum of each series below using the 6 (i) E (in (2n – 1)(2n + 1)

A: Here we have to find the sum of the series using the simple fractionation method.

Q: k! (2k)! IM

A: We need to determine whether the given series converges or diverges. Also we are asked to find the…

Q: Evaluate the series or state that it diverges.

A: Given ∑k=1∞(-2)k3k+1

Q: 6" 5" – 1 n=1 8.

A: ∑n=1∞6n5n-1

Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (n + 6)(n +…

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Q: 1 Σ 16k? + 8k – 3 k=0

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Q: b) Find the radius of converçence and the interval of converçence for the -1)"x" n'5" series

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Q: 25 125 2+ 2 8 32 +

A: -2+52-258+12532-........ It is a geometric series with, First term=a=-2Common ratio=r=52-2=-54 Now,…

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Determine whether the series converges or diverges. If it is convergent, find the sum. 00 5" + 7"…

A: see 2nd and 3rd step.

Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Evaluate the series or state that it diverges.

A: The series ∑k=1∞πkek+1. We have to check whether the series is convergent or divergent.

Q: Evaluate the series or state that it diverges.

A: Given: S=∑k=0∞120.2k+320.8k for finding given summation, first we expand given expression so,…

Q: Decide whether the given series are convergent or divergent. Write your steps and mention the tests…

A: Follow the process to find the answer.

Q: Find whether the series diverges or converges. Σε 1a α1/2 α=1 +∞

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Q: Evaluate the series or state that it diverges. 3k Σ k=2

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Q: п2"(п + 1)! 36. 2 3"n! n=1

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Q: Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. 9. 11 13…

A: Solution

Q: Use the Ratio Test to determine if each series converges or diverges (п — 1)! Σ 1 - (n +1)2

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Q: 2. Determine whether or not the series converges. If it converges, find the sum. 9 - 2" 17" n=1

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Q: Determine whether the series (-1)"+1, n³ +1 n2 converges or diverges. n=1 Show all your work (and…

A: Given :

Q: ,2 – 3k 86. 2 6* k=0

A: Check the convergence using ratio test,

Q: Determine whether the alternating series converges or diverges

A: Check whether the series is convergent or divergent.

Q: Evaluate the telescoping series or enter DNE if it diverges. Σ n+3 /n +4 n=1 M:

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Q: 3" Σ A=1

A: WE USE THE COMPARISION TEST

Q: Determine if the series converges or diverges. n2 Σ (n + 3)?n n = 1 8.

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Q: Find the sum of the series or show that it diverge n=1 4 3n+2 + 1 8n-2)

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Q: п (х-2)" b) Σ 3 п n=1

A: Given that ∑n=1∞x-2nn3we have to find centered of power series

Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: 4. Determine whether each series is convergent or divergent. State clearly which test you use,…

A: a) we have to use p test  ∑n=1∞1np is convergent if p >1 b) we have to use geomitric test…

Q: Q) Determine whether the series converges or diverges. ...++++ (2

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Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…

Q: Evaluate the series or state that it diverges.

A: rewriting the infinite series we have ∑k=2∞383k=∑k=2∞27512k

Q: n! =) Use the ratio test to determine if the series converges or 100 diverges.

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