Recent content by NascentComp

Homework Statement Given: 1. a_{1} < b_{1} 2. a_{n} = \sqrt{a_{n-1}b_{n-1}} 3. b_{n} = \frac{a_{n-1} + B_{n-1}}{2} 4. The sequences a_{n} and b_{n} are convergent. Prove: The sequences a_{n} and b_{n} have the same limit. The Attempt at a Solution Assume by contradiction that...