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MA 172 Test 3 Question and answers verified to pass 2024/2025

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MA 172 Test 3 Question and answers verified to pass 2024/2025 MA 172 Test 3 (9.1 - 9.7) Review Can the alternating series test (A.S.T.) prove divergence? - correct answer No Alternating series test (A.S.T.) converges when...? - correct answer Three conditions are met: 1.) U_n are all...

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  • October 15, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • ma 172 test 3 question and answers verified to pa

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MA 172 Test 3 (9.1 - 9.7) Review
Can the alternating series test (A.S.T.) prove divergence? - correct answer
✔No


Alternating series test (A.S.T.) converges when...? - correct answer ✔Three
conditions are met:


1.) U_n are all positive


2.) U_n's are non-increasing


3.) U_n approaches 0


Alternating series test setup (not including sigma as n approaches infinity) -
correct answer ✔[(-1)^n-1]U_n


lim as n approaches infinity [nth root(C)] = ? - correct answer ✔1


lim as n approaches infinity [nth root(n)] = ? - correct answer ✔1


Use root test when...? - correct answer ✔dealing with powers of n


Use ratio test when...? - correct answer ✔dealing with factorials (n!)


Ratio and root tests inconclusive when...? - correct answer ✔r = 1

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