Home/Calculus II/Sequences and series/Ratio testSection 14.10Ratio testFormulaCopy LaTeXL=limn→∞∣an+1an∣.L=\lim_{n\to\infty}\left|\frac{a_{n+1}}{a_n}\right|.L=n→∞limanan+1.View detail →If L<1L<1L<1, it converges absolutely.If L>1L>1L>1 or L=∞L=\inftyL=∞, it diverges.If L=1L=1L=1, the test is inconclusive.
FormulaCopy LaTeXL=limn→∞∣an+1an∣.L=\lim_{n\to\infty}\left|\frac{a_{n+1}}{a_n}\right|.L=n→∞limanan+1.View detail →