∞ In(n + 4) Σ n=0 n + 4 η

Q: 5n+6 Σε m=0 =0 V2n3+4

A: Concept:

Q: Σ n=0 3η – 2 5η + 7 +7

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Q: 3n². {(-1y"-1, 4n2 - 1 n-1

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Q: 1 (а) 4n² – 8n + 3 n=1 In n (b) E(-1)". n2 n=2

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Q: cos(n/3) In n (1+:)*

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Q: (b) ∞ Σ k=1 21k5 + 3k3 + 28k2 + 4 8k6 + 2k3 –1

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Q: Determine if the given series is convergent or divergent.

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Q: (-1)"7²n Σ 32" (2n)! n=0

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Q: We first note that we are given a differential equation that includes the Dirac delta function which…

A: We can use Laplace transform to solve an initial value problem, using following formula…

Q: (a) None of these 4n (b) Σ n! n=0 8 * (c) n! n=1 (4) S n=1 (e) All of these n!

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Q: 1 (a) Σ^=2 [n+(-1)*] (c) Σ n! nn η (b) Σ[vn+1-V

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Q: Indicate if the following series converge or diverge.

A: Here is the solution

Q: 1+n + Vn n+ Vn4 + n² +1 n=0

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Q: 1) Σ=1 √n+1-√n η2 ii) Σ=1 1 •n=1 (n+2)(n+3)

A: LIMIT COMPARISON TEST: if limn→∞unvn=l, not equal to zero then ∑un and ∑vn are converge or diverge…

Q: 3n2 + 2n Σ n3 + n² + 1 n=1

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Q: E(-1)" (~1)nn! n=1 en

A: Given series:-       To find:- Given series is convergent or not

Q: 00 5n + sin?n + sin²n 3n - |sin n| n=1

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Q: Convege or Diverge 1ニ/ (-1)^ J21 ,ニノ

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Q: 9 + cos n 9h n=1

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Q: 4 i. 9-n+24n+1 n2 + 4n + 3 n=1 2n + 1 ii. > n²(n + 1)2 n= 4 iii. と2+3n + 2 n=2 |

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Q: (e) Σın (aretan (n)) n=1

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