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WZ
Numerade Educator

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Problem 41 Medium Difficulty

Sketch the region and find its area (if the area is finite).

$ S = \{ (x, y) \mid x \ge 1, 0 \le y \le e^{-x} \} $

Answer

$\lim _{t \rightarrow \infty}\left(-e^{-t}+e^{-1}\right)=0+e^{-1}=1 / e$

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Video Transcript

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