Evaluate the limits, using L’Hôpital’s Rule.

1. $\displaystyle{ \lim_{x\to 0} \frac{\sin(4 x)}{\sin(10 x)} = \;}$
2. $\displaystyle{ \lim_{x\to 0} \frac{\sin(a x)}{\sin(b x)} = \;}$ (assuming $b \neq 0$)

limit