p-series Test

For the the series in form of 1/nᴾ, the easiest way to determine its convergence is using the p-series test:

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▼Refer to xaktly: p-series test/harmonic series

Harmonic Series

Harmonic Series is ∑ 1/n, and Harmonic Series DIVERGES. That's all you need to know.

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▼Refer to Khan academy: harmonic series diverges