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# Determine whether each integral is convergent or divergent. Evaluate those that are convergent.$\displaystyle \int_0^1 \frac{e^{\frac{1}{x}}}{x^3}\ dx$

## $\infty$, Divergent

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Integration Techniques

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### Video Transcript

The problem is, it's only wider. Each indeed growing is converted. Or that wouldn't you violated those that are convergent this improper? Integral by definition, This is Nico to limit. Hey, goes to They're all from but inside. Integral Off a to one into one Arax, over Cuba the ex. Now we compute this staff meeting to hear o first. Here we use math. My third of use institution at you is go to one over. Axe that do you is ICO to make Tio fund over X square? Yes. No. Now just staff meeting into girl because into girl from one over, eh? One eat you and the bead to you. One over X cube. The X is equal to negative. You, you So we can write. This's he got to into girl from Juan too. One of a you have into you. You here We use the my third with integration. My powers. This is Rico too integral from one who want over, eh? You! You You too. You This's the ego too. You tapped into you from Want one over, eh, Linus? Into girl. One, two, one over, eh? Into you, You! This is equal to you have each of you my ass into you from one one over, eh? And this is legal too. One over, eh? My wand into one of a minus one times into one minus one zero. Now localities, function What a goes toe hero from right inside Wonder why a goes to infinity This is infinity Infinity! Infinity times infinity! This's goes to infinity! Thiss improper Integral is divergent.

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