show the improper integral is well defined.
Last edited by Chris L T521; Nov 15th 2009 at 02:17 PM.
Reason: TeXified the question.
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Originally Posted by stumped765 show the improper integral is well defined. Split the integral into two, , then use the comparison test.
Near x=0, . So , and converges.
For large x, (because exponentials grow faster than any power of x). So , and converges.
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