1. The problem statement, all variables and given/known data Find the limit lim (sin(3x))/x x-->0 2. Relevant equations There is two steps which I don't understand how they work, or why they work. Ill show you. I'm using my answer book to help me out, but it doesn't give a satisfactory explanation. 3. The attempt at a solution lim (sin(3x))/x x-->0 = lim 3(sin(3x))/3x x-->0 = 3lim (sin(3x))/3x as x -> 0 3x -> 0 Why do I do this maneuver? I understand its for x-->0 substitution = 3lim (sin(3x))/3x let theta = 3x = 3lim (sin(theta))/theta = 3(1) Why does lim (sin(theta))/theta equal 1?