MHB Finding the Limit of an Arctan Equation

[greenglasses]

The Question
Find the limit as x approaches 2 from the left for the equation
arctan(3/(x-2))
Work Done
I'm not really sure even where to start. My teacher didn't go over this type of question. I don't see any way to mess with the equation to make it so we can plug in 2, and I don't see how rewriting the equation in the form tan y = 3/(x-2) could help either. I'm not supposed to take the derivative, am I?
I would appreciate any pushes in the right direction.

 

[MarkFL]

I would begin with the fact that given a one-to-one function $f$, we may state:

$$\lim_{x\to a}\left(f\left(u(x) \right) \right)=f\left(\lim_{x\to a}\left(u(x) \right) \right)$$

 

[greenglasses]

Thanks, I managed to figure it out though.