Use the Root Test to decide whether 3 п the series EI is convergent or 8n+1) n = divergent.

Q: use the Integral Test to determine whether the infinite series is convergent.

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Q: Use the Root Test to determine if the following series converges absolutely or diverges. 00 7 Σ n=1…

A: Given that: ∑n=1∞7(2n+5)n

Q: I+16n² n= 1

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Q: Use the integral test to determine whether the series converges. S tan-1n Σ n=1

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Q: Σ +∞ 2-vn n=1 √n

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Q: 00 1 n=1 n5

A: Note: if the improper integral has a finite value, then the series converges. Similarly, if the…

Q: Use the root test to determine if the series converges or diverges. Σ Ln=1 (4nU–2)" 1/n

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Q: n-13n n n=1

A: The given series ∑n=1∞(-1)n-13nn is an alternating series.

Q: Use the integral test to show that the series E÷, is convergent for p > 1.

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Q: Use the integral test to determine whether the series converges or diverges. 3n Σ n2 +2 n=1

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Q: Use the root test to determine whether the series 7n n6.5n+1 converges or diverges. n=1

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Q: Use the integral test to determine whether the series converges or diverges.

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. (2n)! 16. У (n!)? 00…

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Q: in (n? +1)? | =Dレ

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

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Q: Use the integral test to determine whether the series converges or diverges. 1 Σ (In 8)n n=1

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Q: Use the Integral Test to determine if the series converges or diverges. Be sure to check that the…

A: The given series is: ∑n=1∞1n ln3n Now, let f(x)=1x ln3x;f(x)≥1 So, ∫1∞f(x) dx=∫1∞1x ln3xdx=∫1∞1x…

Q: Use the Root Test to determine if the series converges or diverges. 3k + 1) k 5k k= 1

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Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

A: We have to check

Q: Find the value of the integral da 8x(In(8x))? Determine whether the series 1. 8n(In(8n))? is…

A: We have to find

Q: Use the integral test to determine whether the series converges or diverges.

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Q: n2 nº + 1 n=1

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Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

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Q: 1.) Use the integral test to determine if the series is convergent or divergent: E 2e-31 n =4 If it…

A: We are given a series  ∑n=4∞ 2e-3n We have to determine whether this series is convergent or not…

Q: Use the root test to determine if the following series converges or diverges. 8 Σ (4 + (1/n))³n n =…

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Q: Use the integral test to determine whether the series converges or diverges.

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Q: Use the Integral Test to determine whether the series is convergent or divergent; 1 Σ n=13n +4

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Q: Use the Root Test to determine if the series converges or diverges (-1)"2* (-1)"2ñ zuć en? (2n2 –…

A: Given problem:-

Q: Use the root test to determine if the series converges or diverges. 00 Σ (7n'n - 1)" 1/n n= 1…

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Q: Apply the root test to prove that this series converges absolutely: (- 1)"*' 2" n=1

A: Ratio Testlimn→∞|an|n=LIf L<1,then absolutely convergent.If L>1 ,then Divergent.If L=1 then no…

Q: 5n3 n! n=1

A: Given : ∑n=1∞5n3n!

Q: use the Integral Test to determine whether the infinite series is convergent.

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Q: Use the Integral Test to determine whether the series , ke-k converges or diverges.

A: If ∫1∞an converges then the ∑k=1∞an  converges   If ∫1∞an diverges then the ∑k=1∞an  diverges…

Q: Determine whether the series is convergent or divergent. 2 8 sin I n = 1

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Q: Use the Root Test to prove that the series e2n is convergent. n" n=1

A: If limn→∞|an|1n=L, and:  If L<1, then ∑an converges  If L>1, then ∑an diverges  If L=1, then…

Q: Use the root test to check whether the series an converges or diverges: (In n)" n!

A: The objective is to check if the given series converges or diverges. Given series is: ∑n=1∞an; where…

Q: 00 1 7. n2 +1 n=1

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Q: Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" - n=1 converges or diverges.

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Q: Use the Root Test to determine if the series converges or diverges. k2 Σ k=1

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Q: Use the integral test to determine whether the series is convergent or divergent. In(n) 8n n = 3

A: given series is ∑n=3∞lnn8n using the integral test to determine whether the series is convergent or…

Q: Q2/ Use the Integral Test to determine whether the series convergent or divergent. n=1 - 15

A: We'll answer the first question since the exact one was not specified. Please resubmit a new…

Q: +∞ Σ n=1 2-1 √n

A: Let's solve by using integral test.

Q: Use the Integral Test to determine whether the infinite series is convergent. 00 Σ (n³ + 6) n2 n=10

A: The given series is ∑n=10∞n2n3+672. Compare the above series with ∑n=k∞an and obtain k=10,…

Q: Use the integral test converge to determine whether the series diverges. or I+16n² n= 2 n=1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the ratio test to determine if the series converges or diverges. Sn! n=1

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Q: Use the integral test to determine whether the series converges. 1 Σ (In 5)n n=1 O diverges…

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

Q: Use the integral test to determine whether the series converges. 1 26) 2 9n n=1 A) converges B)…

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Q: Use the integral test to determine whether the series converges or diverges.

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: If integral value is finite then given series is convergent.