Is this evaluation of the limit correct for the following graph? Evaluate: $\lim \limits_{x \to 0^+}$  $f(f(x))$
graph http://puu.sh/kPe30/a3712d99f3.png


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*As x approaches 0 from the right side, it f(x) approaches 2 from below. So we find evaluate $\lim \limits_{x \to 2^-}$  $f(x)$, Which we can see through the graph to be -2. 


Is this correct? I am kind of confused on evaluating the limit for a composite function. If this is correct, how would you evaluate $\lim \limits_{x \to -3}$  $f(f(x))$

Since $f$ is constant in an open interval about $-3$ and it returns the value $-1$ there, you have
$$\lim_{x\to -3} f(f(x)) = -1$$
