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Determine whether the improper integral converges or diverges, and find the value of each that converges.

∫^[infinity]_-[infinity] e^|x| dx

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  1. 4 May, 02:16
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    The improper integral diverges. Find the limit as a->-infinity and b->infinity of the integral from a to b of e^xdx. This is e^b-e^a which equates to infinity.
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