Smooth Camera

Hello everybody! My question today is how to make a camera rotate around smoothly. I have just made 2 cameras and a camera switching script to switch between them and its working great! The problem is that when I am in third person view which is the camera behind the model, when I move around its a very sudden and jerky movement when looking around. So I was just wondering if anyone could show me a script or a way to make this smoother.

Making a smooth 3rd person chase camera is going to be take some work and is probably too big of an undertaking to fit in a simple answer here. But there was a great article in September 2011 issue of Game Developer Magazine about this exact same topic. I encourage you to buy it and take a look. It was thorough and should give you more the enough information to get your own implementation going.