Answered

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Determine whether the series is convergent or divergent. [infinity] n = 1 1 nāˆš9 the series is a ---select--- p-series with p =

Sagot :

ogorwyne

The series is a convergent p-series with p = 3

How to know it is a divergent or a convergent series

We would know that a series is a convergent p series when we have āˆ‘ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.

The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.

The value of [tex]\sqrt{9}= 3[/tex]

The formular for this is

āˆ‘[tex]\frac{1}{n^p} \\[/tex]

where n = 1

we know it is convergent because p is greater than 1. 3>1

Read more on convergent series here:

https://brainly.com/question/337693

#SPJ1

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