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...