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WZ
Numerade Educator

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Problem 27 Easy Difficulty

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

$ \displaystyle \int_0^1 \frac{1}{x}\ dx $

Answer

$\infty$, Divergent

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Video Transcript

So the problem is determined. Why either just stingy grow as components are evident. Notice that Monex goes to zero. One of Iraq's goes to infinity. This is an improper into girl. By definition, this is a call to the limit. He goes to zero from right hand side. Integral won over acts from team one. It is the limit. He goes to infinity. Chico's to zero from right outside. Alan Ex after one little box Ground Team one. This is the cultures. And I meant it. He goes to zero from right outside. Alan one minus Ellen Kaede. Andi thinks Ellen one zero statistics Nico to the limit. He goes to zero from right hand side. Negative. Yeah. And he we know when he goes to zero from red hands that Auntie those two make to infinity. So the result is you got to infinity This integral ist evident