Question

cauchys nth root test​

Answer 1

Answer:

The root test is a simple test that tests for absolute convergence of a series, meaning the series definitely converges to some value. This test doesn't tell you what the series converges to, just that your series converges. We then keep the following in mind: If L < 1, then the series absolutely converges.

Cauchy's nth root test by plotting nth root Statement: If x[n] is a series of positive terms in R and l in R. If lim |(x[n])|^(1/n)=l then 1. x[n] converges absolutely if l<1. 2.

Step-by-step explanation:

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