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How do you find what p is?

How do you find what p is?-example-1
User Emoke
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Answer:

p > -3

Explanation:

This is an alternating p-series. It is absolutely convergent if│an│converges. 1 / nᵖ⁺³ converges if the exponent is greater than 1.

p + 3 > 1

p > -2

The series is conditionally convergent if │an│diverges. 1 / nᵖ⁺³ diverges if the exponent is greater than 0 and less than or equal to 1.

0 < p + 3 ≤ 1

-3 < p ≤ -2

Combining these two, we get p > -3.

User Rebekah Waterbury
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