Lim (sin 4x) / x as x approaches 0

lim (sin 4x) / x as x approaches 0.

I need to solve it without using l'Hospital's rule.

lim x --> 0 [ sin (4x) / x ]

lim x--> 0 4 [ sin(4x) / 4x ] recall that lim x--> 0 sin(a) / a = 1

= 4

For small x, sin(x)=x, so the limit is 1.