n! g) E п 3" n=0

Q: (-11^ la ) 이의 7) 9) n=1

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Q: I· e* + 1 Σ e2 . n2k + e2k k=1

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Q: 1 Σ n%3D1 n

A: The given series is ∑n=1∞1n-1n2n To find: Find convergence or divergence of the series.

Q: n #1. E(-1)" n = 1 Vn° +2 n cos nT #2. n = 1 2" # 3. E(-1)"(/n+1- /n) n = 1

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Q: Determine which test and determine if the series converges or diverges

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Q: 28 85 K=I 5ks+ 8K²³-9 tk

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Q: 7= (-1)"¹¹√√n n² + 1

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Q: +=+=+ 5 7'9'11 a. b. '5" –1 5n² +7n+2 c. 16n +9 -in

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Q: Determine the convergence or divergence of the series. Give Reasons for your answer.

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Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: Evaluate the series or state that it diverges.

A: Given that : The series ∑k =0∞  116k2 + 8k - 3 . First factoring the denominator term,…

Q: Determine if the series converges or diverges. W

A: Given: ∑n=1∞(-1)n10n(n+1)!

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: (5 – 4(In n)³)" (3 · In n)3n n=2

A: Solution

Q: Deicmine the convergence or divergence of the series. Explain. An +3, n=3

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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: » Σ n=1 9 7 + 3n (In n)2

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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: Calculate tan x ( sec“ x ) dx using u-substitution with: (i) u = tan x (ii) u = sec x

A: I have stated the used formulas in the solution.

Q: +00 1 4n2 – 8n + 3 n=1

A: The given series,       ∑n=1+∞14n2-8n+3

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

A: