1. **State the problem:** Find the exact values of $u_2$ and $u_3$ given a recurrence relation (not explicitly stated here) and that $u_n \to l$ as $n \to \infty$. Then find the exact value of $l$. 2. **General approach:** For a sequence defined by a recurrence relation, the limit $l$ satisfies the equation obtained by setting $u_{n+1} = u_n = l$. 3. **Step 1: Find $u_2$ and $u_3$** Assuming the recurrence relation is of the form $u_{n+1} = r u_n + c$ (common in such problems), and given initial value $u_1$, we calculate: $$u_2 = r u_1 + c$$ $$u_3 = r u_2 + c$$ 4. **Step 2: Find the limit $l$** Since $u_n \to l$, then: $$l = r l + c$$ Rearranging: $$l - r l = c$$ $$l(1 - r) = c$$ $$l = \frac{c}{1 - r}$$ 5. **Summary:** - Calculate $u_2$ and $u_3$ using the recurrence. - Find $l$ using the limit formula. Since the exact recurrence and initial values are not provided, this is the general method to solve the problem. If you provide the recurrence relation and initial value $u_1$, I can compute exact values.