Questions 12-15: Determine if each series converges or diverges. Indicate which test you are using and show your work. You MUST use each test at least one time. Nth term test p-series 12) n=0 14) √n 'n³ +5 n=1 test: geometric series test Limit Comparison Test converges/diverges test: converges/diverges telescoping series Direct Comparison Test 4 4 13) Σ(n+2= 7+3) 1/n 15) - 19+(Inn)² test: integral test converges/diverges test: converges/diverges

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer question 12 using Limit Comparision Series test

Questions 12-15: Determine if each series converges or diverges. Indicate which test you are using and show
your work. You MUST use each test at least one time.
Nth term test
p-series
12)
n=0
14) √n
n=1n³ +5
test:
2097016
test:
geometric series test
Limit Comparison Test
converges/diverges
converges/diverges
telescoping series
Direct Comparison Test
13) Σ,
4
min+2
4
n+3)
1/n
15) -
==19+(lnn)²
test:
integral test
converges/diverges
test:
converges/diverges
Transcribed Image Text:Questions 12-15: Determine if each series converges or diverges. Indicate which test you are using and show your work. You MUST use each test at least one time. Nth term test p-series 12) n=0 14) √n n=1n³ +5 test: 2097016 test: geometric series test Limit Comparison Test converges/diverges converges/diverges telescoping series Direct Comparison Test 13) Σ, 4 min+2 4 n+3) 1/n 15) - ==19+(lnn)² test: integral test converges/diverges test: converges/diverges
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