CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

  1. Determineif convergesor diverges.If it converges,find its limit.

  2. Determineif convergesor diverges.If it converges,find its sum.
    Determineif eachseriesconvergesor diverges.


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  1. Mariausesthe integraltest to determineif converges.She findsthat. She then


statesthat convergesand the sum is 3. Whaterrordid she make?


Answers



  1. Sampleanswer:4, 4, 4, 5, 5, 5, 6, 6, 7, ...

  2. Sampleanswer:200, 20, 2, ...

  3. No, the nondecreasingsequenceis not bounded.For any numberM, thereis a pointin the sequence
    suchthat the rest of the sequenceis greaterthanM. The termsof the sequenceare not boundedby any
    valueofM.

  4. is boundedand nonincreasing.It convergesto

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