❖ Root Test for Series ❖

Описание к видео ❖ Root Test for Series ❖

In this video I look describe the results of the root test for series which helps us decide whether or not a series converges absolutely (absolutely convergent). Note that if it converges absolutely, then the original series also converges. (Note the root test puts the terms of the sequence in absolute value so it could change signs around).
The root test involves taking a limit. Note that if the limit L is greater than 1 (including infinity) then the series diverges.
If the limit is less than 1 then the series converges absolutely.
If the limit equals one, L = 1, then the test is inconclusive.

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