En²e-n³

Q: (-1)^arctan n in=1

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Q: n 16) Σ In( Στ 3η + 1 n=1

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Q: Test the series below for convergence using the Ratio Test. n³ n=1 0.7 The limit of the ratio test…

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Q: I· e* + 1 Σ e2 . n2k + e2k k=1

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Q: Determine if each series diverges or converges.

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: ηλη Σ (2η)! n=1

A: The given series .The aim is to determine whether the given series is converges or diverges.Ratio…

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: 6. 5. Σ m(n+2) In 1 6. Σ 7. E 5 7+1

A: In 5 and 6 using comparison test while in 7 using D'Aembert Ratio test.

Q: 4h 2. E+3 (-1)"3 3. E 4. E常 e" 6. 5. 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ()" e n n=0

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Q: a. E=1(-1)"*1 n+1 2n 2 b. Ln=17 10n

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Q: Find the sum of the series if it converges. Hint: Rationalize

A: Rationalizing the given series: n+1-n(n+1+n)(n+1-n)=n+1-nn+1-n= n+1-n

Q: 22n + 2" +1 (-1)* 1. 4n + 3n +5 n=1

A: Given: ∑n=1∞-1n22n+2n+14n+3n+5 To determine: Whether the given series is convergent or divergent.

Q: Determine whether each series is convergent or divergent. Justify your answe

A: Given that: ∑k=1∞k+1k3+1

Q: + 8 W n = 2 ³√(¹-2) 4n³ +5

A: The given series is, ∑n=2∞n4-234n3+5   The limit comparison test for series says that, suppose ∑nan…

Q: 00 2n+4" (1) E n=1n+6"+1 (2) En ( 3) Σ cos [(2n+1)!]? (1-2n)" 00 00 1 (4) E n" (5) E arctan n n=1

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Q: Let an ;in 2 1 In(2" +1)' Determine if the sequence {an}n=1 is convergent or divergent. Determine if…

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Q: 1 (ii) 2n=2 13+1 100

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Q: 7 立。 3" 6 ) 5) 4) Ž 9 +2^ n! n+1 n=1

A: Limit test:  If the limit of sequence approaches to any finite number then the series is convergent…

Q: 2n²(-1)" En=1 3n2+4n+1

A: given series is                                                         ∑n=1∞2n2(-1)n3n2+4n+1…

Q: ∞ (d) Ene-n? n=1

A: We have to determine whether the series converges or diverges.…

Q: 00 1 (n- 4)2 2. n%3D5

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