Does this fail the Integral Test? I think it does. Summation n=1 to infinity (ne^(-n/2))
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Originally Posted by saiyanmx89 Does this fail the Integral Test? I think it does. Summation n=1 to infinity (ne^(-n/2)) using integration by parts ( and L'hosiptals rule)you get and please forgive my abuse of notation Since the latter integral also coverges the series coverges by the integral test.
Helo, saiyanmx89! Does this fail the Integral Test? I think it does. . I believe it passes . . . We have: . Integrate by parts: . Then we have: . Then: . Therefore, the integral converges to: .
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