Determine whether the integral is convergent or divergent. [infinity] 7 e−1/x x2 dx convergent divergent Changed: Your submitted
answer was incorrect. Your current answer has not been submitted. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
1 answer:
I suppose the integral could be
In that case, since as , we know . We also have , so the integral is approach +1 from below. This tells us that, by comparison,
and the latter integral is convergent, so this integral must converge.
To find its value, let , so that . Then the integral is equal to
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Step-by-step explanation:
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