5. (10%) Let the function $f(t) = \sin(t^2)$ as shown in Figure 2. Consider two areas A(x) and B(x) for x < 1.5, where A(x) represents the triangular area, while B(x) designates the definite integral of f(t) from t = 0 to t = x. Find $$\lim_{x \to 0^+} \frac{A(x)}{B(x)}$$