Use a test for convergence to determine whether the following series converge or diverge.(-1)"-1Vn - 1n2 – 2Зп? —(i)(iv) ►3n² – 2(ii)(iii)n3 + 1k!k=12n2 + 3n=0n=1n=2As part of your solution, clearly state which test for convergence is used.

Since you have posted multiple questions which are not interlinked i can do first question as per…

Answered: Use a test for convergence to determine…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Group-Assignment -I (Target group G-2 Civil Engineering Students) 1. Determine if the following sequences converges or diverge. If the the sequence converge determine its limit. a) b) c) a) d) b) Jn=1 (3n²-1 (10n+5n² d) (sin(n)) 2. Determine whether the following whether the following series converges k=1 2 2 (2k):) + k+1 3k 1 n(In n)* k! Rift Valley University Lebu-Lafto Campus √√n+1-√√n Department of Civil Engineering Applied Mathematics - II n 1 e) f) g) h) n=1 c) 1) Σ n=1 (7n²-10n-7) (8n³-7n²+5), 5)n=1 cos n nII 2 n +1 sin(n) n n=1 n n! n=1 (-10) 14²+¹(n+1)
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Can you show me how to solve this?
I could use some help for no.3

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Use a test for convergence to determine whether the following series converge or diverge. n² – 2 (i) 2* k2 (iii) -1)"-1 Vn -1 (ii) ( ίv) Σ (iv) 3n² – 2 n3 +1 k! k=1 2n2 + 3 n=0 n=2 As part of your solution, clearly state which test for convergence is used.