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WZ
Numerade Educator

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Problem 14 Easy Difficulty

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

$ \displaystyle \int_1^\infty \frac{e^{\frac{-1}{x}}}{x^2}\ dx $

Answer

$1-\frac{1}{e}$

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Video Transcript

the problem is determined Why that this integral is component or dem urgent. First, we can use use of institution to realise dysfunction as a function which is either to integrate. We can write you is equal to negative one over acts. And then do you and Nico to one over X Squire Jax? So this part is just to be you. Then this integral is the culture e Teo, you hands you and what tax goes to one of you goes to next to one. The axe goes to infinity. One arise goes to zero. This is zero. This is not on improper. Integral. Come. Fine is it seemed integral directly. This's equal to you, Teo. Youth power from Nick to one two zero. This's he called Tio You two zero one minus You two make you wise power. So this integral is converted. Ondas value is one minus. Ito, make it your wife's power.