Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2

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Science, Mathematics
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University
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Hard
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3 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the significance of the harmonic series in relation to the convergence of an alternating series?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
In the second example, why did the first criterion of the alternating series test fail?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What conclusion can be drawn if both criteria of the alternating series test are not satisfied?
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