1. **Problem:** Evaluate $$\lim_{t \to 0} \left( \frac{\sin t}{t} + 2 \right)$$ 2. **Formula and rules:** We use the special limit $$\lim_{t \to 0} \frac{\sin t}{t} = 1$$ which is fundamental in calculus. 3. **Intermediate work:** Substitute the limit: $$\lim_{t \to 0} \frac{\sin t}{t} + 2 = 1 + 2$$ 4. **Final answer:** $$3$$ This means as $t$ approaches 0, the expression approaches 3. Note: Since you requested a graph of limit functions, here is the function for this limit: $$y = \frac{\sin t}{t} + 2$$ It is defined for $t \neq 0$ and continuous at $t=0$ by the limit value 3.