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Lesson Worksheet: Harmonic and 𝑝-Series Mathematics • Higher Education
In this worksheet, we will practice finding the condition for which the 𝑝-series converges, and we will prove the divergence of the harmonic series using the integral test.
Q1:
Determine whether the series converges or diverges.
Hint: is equal to .
- AIt diverges.
- BIt converges.
Q7:
Determine whether the series converges or diverges.
- AIt diverges.
- BIt converges.
Q9:
State whether the given p-series converges or diverges.
- AIt converges.
- BIt diverges.