Based on your knowledge of the behavior of the numerator and denominator, predict the value of the limit $\displaystyle\lim_{x\to0^+}\frac{\sin x}{x^{1/2}}$
the limit is

Find the limit using l'Hopital's rule:
$\displaystyle\lim_{x\to0^{+}}\frac{\sin x}{x^{1/2}} = \displaystyle\lim_{x\to0^{+}}$ [ / ] =