High Quality Content by WIKIPEDIA articles! The ratio test states that: * if L < 1 then the series converges absolutely, and * if L > 1 then the series diverges. If L = 1 or the limit fails to exist, then the test is inconclusive (there exist both convergent and divergent series that satisfy that case). In cases where the limit fails to exist, it is possible to generalize the test using a limit superior. Then if ? > 0, the series converges. If ? < 0 and ?1/?n diverges, then the series diverges. Otherwise the test is inconclusive.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.