A projectile is launched from the edge of a cliff of height \(H\) with an initial speed \(v_0\) at an angle \(\theta\) above the horizontal, where \(0 \le \theta < \dfrac{\pi}{2}\). The horizontal range \(R(\theta)\) of the projectile upon landing on the flat ground below is modeled by
\[ R(\theta) = \dfrac{v_0 \cos\theta}{g} \left( v_0 \sin\theta + \sqrt{v_0^2 \sin^2\theta + 2gH} \right) \]
Which of the following statements correctly evaluates the behavior of this expression in the limit as \(\theta \to 0\), including the initial rate of change of range with respect to launch angle, \(\left.\dfrac{dR}{d\theta}\right|_{\theta=0}\)?