1. The problem asks for the limit of the function $$\frac{\sin x}{x}$$ as $$x$$ approaches 0. 2. This is a classic limit in calculus often used to define the derivative of the sine function. 3. We know from the standard limit result that: $$\lim_{x \to 0} \frac{\sin x}{x} = 1$$ 4. This can be shown using the squeeze theorem or the Taylor series expansion of $$\sin x$$ around 0. 5. Therefore, the correct answer is option d. 1.