P Series

Simply put, if a series diverges then it never settles (or sums to) a particular number. The harmonic series,where p=1, is divergent: But how can we know whether other types convergeor diverge?
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Série-P, série alternada e série de potência

Série-P. É uma série da seguinte forma: CONVERGE se p > 1 DIVERGE se p 1. Se p = 1, a série . é chamada série harmônica e, de acordo com o teorema, é divergente. Série alternada. É da

About P Series

About P Series

Simply put, if a series diverges then it never settles (or sums to) a particular number. The harmonic series,where p=1, is divergent: But how can we know whether other types convergeor diverge? .

A test exists to describe the convergence of all p-series. That test is called the p-series test,which states simply that: 1. If p > 1, then the series converges, 2. If p ≤ 1, then the series diverges. Here are some examples ofconvergent.

Benestad, C. et al. (2015). Power Series, Math 121 Calculus II. Retrieved January 3, 2020 from: https://mathcs.clarku.edu/~ma121/powerseries.pdf Larson, R. & Edwards, B.

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