Consider the sequence $\frac{1}{2}$, $\frac{\frac{1}{2}}{\frac{3}{4}}$, $\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}$,.... does it converge? If so to what?

Date changed: Fri 2026-03-20 | 09:40 AM
Date created: Fri 2026-03-20 | 09:39 AM
Consider the sequence $\frac{1}{2}$, $\frac{\frac{1}{2}}{\frac{3}{4}}$, $\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}$,.... does it converge? If so to what?