In mathematics, the limit comparison test (LCT) (in contrast with the related direct comparison test) is a method of testing for the convergence of an infinite series. == Statement == Suppose that we have two series Σ n a n {\displaystyle \Sigma _{n}a_{n}} and Σ n b n {\displaystyle \Sigma _{n}b_{n}} with a n ≥ 0 , b n > 0 {\displaystyle a_{n}\geq 0,b_{n}>0} for all n {\displaystyle n} .
In mathematics, the limit comparison test (LCT) (in contrast with the related direct comparison test) is a method of testing for the convergence of an infinite series. == Statement == Suppose that we have two series Σ n a n {\displaystyle \Sigma _{n}a_{n}} and Σ n b n {\displaystyle \Sigma _{n}b_{n}} with a n ≥ 0 , b n > 0 {\displaystyle a_{n}\geq 0,b_{n}>0} for all n {\displaystyle n} .
Source: Wikipedia "Limit comparison test" · CC BY-SA 4.0
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