Converging And Diverging Series

7 Questions | Total Attempts: 150

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Physics Quizzes & Trivia

Questions and Answers
  • 1. 
    (*Note*: This is the only question I got from the an outside source, which in this case was out class notes)Find what the series converges to, if it converges:  ∞ ∑  (n2+1)-1 n=1
    • A. 

      3

    • B. 

      1

    • C. 

      Diverges

    • D. 

      0

  • 2. 
    What does this series do:  ∞ ∑    8/ (3n2+ 2n+1) n=1
    • A. 

      Converge

    • B. 

      Diverge

    • C. 

      Cannot Be Determines

  • 3. 
    What does the series do:   ∞ ∑ 3n3/ (5n3+9) n=1
    • A. 

      Cannot Be Determined

    • B. 

      Converge

    • C. 

      Diverge

  • 4. 
    Which of the following series Converge:      ∞                     ∞                          ∞ 1. ∑  5/n         2. ∑  5/(n50)        3. ∑  5/(n1/50)     n=1                  n=1                      n=1
    • A. 

      1 only

    • B. 

      2 only

    • C. 

      2 and 3 only

    • D. 

      1 and 3 only

  • 5. 
                 Does ∑ ( (-1)n+1n2+1))/n3:            n=1
    • A. 

      Converge

    • B. 

      Diverge

    • C. 

      Conditionally Converge

  • 6. 
    Does the nth root of ((7/n) +8))n:
    • A. 

      Diverge

    • B. 

      Cannot Be Determined

    • C. 

      Converge

  • 7. 
    What is the interval of convergence for the power series: ∞ ∑ ((5n!)(x+5)n+7)/n n=1
    • A. 

      -6≤x≤-4

    • B. 

      Cannot Be Determined

    • C. 

      -6≤x

    • D. 

      -6 is less than x which is less than -4

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