# av R Sadeghi · 2015 · Citerat av 17 — For 12 months posttreatment data the pooled ES were 0.979 (0.616-1.343) (P A. Metacognitive therapy for obsessive-compulsive disorder: A case series.

View p-series+test.pdf from PRECALC 401 at Nashua High School South. Topic: p-series test Question: Use the p-series test to say whether the series converges or diverges. ∞ ∑ n=1 3 n Answer

= 1. 2 . Since the limit is less than 1, the Root Test says that the series converges absolutely. 4.

The limit is Series. Convergence or Divergence. Comments nth term test. (or the zero test). X term an of a series is similar to axn .

## This video explains how to apply the p-series test to determine if an infinite series converges or diverges.http://mathispower4u.yolasite.com/

This fact follows directly from the Integral Test and a similar fact we saw in the Improper Integral section. This fact says that the integral, \[\int_{{\,k}}^{{\,\infty }}{{\frac{1}{{{x^p}}}\,dx}}\] If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. The LCT is a final resort test.

### Theorem (p-Series Test): The special series is convergent if and divergent if. We will now look at some examples of specifically applying the p-Series test. Example 1 Using the p-Series test determine if the series is convergent or divergent.

Series P. Test methods for paper and board.

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The p-series is given by 1/n p = 1/1 p + 1/2 p + 1/3 p + where p > 0 by definition. If p > 1, then the series converges. If 0 < p <= 1 then the series diverges.

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Worked example: p-series. Proof of p-series convergence criteria. Up Next.

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### Using series tests to determine convergence You may recall, from back when you first started studying integration, that you approximated the area under a curve by adding up a bunch of rectangles. You then made the width of the rectangles smaller and smaller, finding the limit of the area as the width went to zero, to find the area.

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= 1. 2 . Since the limit is less than 1, the Root Test says that the series converges absolutely.

The keys to an anti-spy, camouflaged unit were handed over and with just a few hundred run-in kilometres on the clock, we set off to do our own testing, Africa style! We know the \(p\)-series converges if \( p=2\) and diverges if \( p=1\). What about other values of \( p\)? In general, it is difficult, if not impossible, to compute the exact value of most \( p\)-series.