P Series - Sequence and Series

P Series

In this lesson, we will learn about p-series. They take on a special form, and look very similar to Harmonic series. However their convergence or divergence depends on the denominator's exponent, p. If p is greater than 1, then the series converge. If p is less than 1, then the series diverge. In this lesson, we will start off with looking at some simple p-series questions. Then we will look at a complicated p-series which convergences and divergences depending on a certain value.


Note *P Series are in the form:
n=11np \sum_{n=1}^{\infty}\frac{1}{n^p}
where if pp > 1 then the series converge. Otherwise, the series diverges.
  • 1.
    Convergence and Divergence of P Series
    Determine whether the series is convergent or divergent
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P Series

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