Applying the limit comparison test, show that the series 1.1 1 2n diverges.

Q: nx (a): Show that the sequences is not uniformly convergent [0, 00]. on '1-n²x2

A: Given the sequence of function fnx=nx1-n2x2, x∈[0,∞) Now , for x=0, the sequence is 0,0,0,.... this…

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Given series is ∑n=1∞(n!)2(2n)!

Q: If lim an 1 then n00 Σ an n=1 converges O diverges O may or may not converge

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Q: n3 Determine the convergence or divergence of n=1 n7 + 2n² + 1

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution.

Q: 4n + 3 Use the limit comparison test to determine whether > an = Σ 20n® + 2 converges or diverges.…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: Use the Integral Test to determine whether the seriesconverge or diverge. Be sure to check that the…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: The given formula is ρ=limn→∞an+1an used to check the ratio test of the given statement ∑n=1∞n77n6…

Q: /2n?

A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: n! h) E п n3' n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Y thenumber of Limits of. E -63? gontric k series Skz Ak=7 B に2 6 Ok26 No if the above.

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Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n

Q: Dedekmineif the fallawingSeries converge er diverge n² +4

A: We are given a series . We have to test the convergence of series . So we apply cauchy integral tets…

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Here, the given series is: ∑n=1∞7n2(2n+1)! Let, an=7n2(2n+1)!; n≥1

Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: Which test to use and is it convergent/divergent? 1 Σ Z 16n2 – 8n – 3 n=1

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Q: Q1. Test the convergence and divergence of ( 4. E1(n)/n

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Q: In n ( a) Σ(-1)". 2n n=2

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Given that: ∑n=1∞enn!

Q: 2n-1 3n+2n+1 n=1

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Q: Find the power Seriesr land determine the radius of convergence. f (x) = X representation for the…

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Q: 3n 4. Use the ratio test to determine whether Σ converges. (n + 1)! n=1

A: use the ratio test for convergence of series.

Q: 1 1+ 2/2' 3/38 1 1 + 1 + ... 5/5 +

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Q: Use the Root Test to determine the convergence or divergence Σ -3n 3n 2n + 1. n = 1 lim n- 00…

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Q: F) nー1

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Q: Determine if the given is convergent or divergent. Indicate what test is used In n 1. n=1

A: To determine that the following is convergent or divergent  ln2nnn=1∞ ∑n=2∞ln2nn Root test: If…

Q: Determine the convergence or divergence

A: Consider the given series ∑n=1∞n2n4n3+1

Q: n2 3" 1) > 6n+1 n=1

A: Given query is to find the series converging or diverging.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: We need to use the ratio test to find the convergence or divergence or inconclusive for the series…

Q: n+ 7) ) Σ n2 n=1

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Q: Q.14) A sequence {()L a) converge to 3 b) diverge lecreasing

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: ∑n=1∞  n!22n!

Q: A Moving to another question will save this response. Question 3 k2+k+3 By using The Divergence…

A: We have to check

Q: is this convergence or divergence? {( n 2n +1) n=1

A: Given sequence n2n+1nn=1∞To check: whether it is convergence or divergence.Note: Root test:suppose…

Q: H.W: Which of the sequences {a„} converge and which diverge: 1. a, = 2+(0.1)" 2. an =|1+

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Q: Determine f the sarles 1 ヘ-3 diverges? converges or

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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: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: This question is related to infinite series, we will solve it using given information.

Q: Oiscuss the Convergen ce or Divergence n? tin3 n3 -1

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Q: n· 3n 5n n=

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Q: E 2 ( – 13" An(n)/2" | .......

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

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

Q: Use the Integral Test to determine whether the seriesconverge or diverge. Be sure to check that the…

A: Given series is, Draw the curve of given expression,

Q: Does (-1)r+1 In n (-1)n+1 lnn converge or diverge? n=1

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Q: n? Use an appropriate method to determine if converges or diverges. n³ +1

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