1. The problem is to prove the sequence converges and find its limit. 2. Suppose the sequence is defined by a recurrence relation or explicit formula (not provided in the question). 3. To prove convergence, we typically show the sequence is bounded and monotonic. 4. Then, we find the limit $L$ by setting the limit of the sequence equal to $L$ and solving the resulting equation. 5. For example, if the sequence is defined by $a_{n+1} = f(a_n)$, then at the limit $L = f(L)$. 6. Solve the equation $L = f(L)$ to find the possible limits. 7. Verify which solution is consistent with the sequence behavior. 8. The final answer is the value of $L$ that the sequence converges to. Since the exact sequence is not provided, the final answer depends on the specific sequence definition.