Given the function $f(x)=\frac{x+2}{(x+1)^2}$.  

1. Use your calculator to create a table for $f \left(x\right)$. As $x → ∞$, describe what happens to $f\left(x\right)$.

2. Describe how these table values are reflected in the graph of $f\left(x\right)$.

3. Make a table for $f\left(x\right)$ when $−3\le x\le1$ using increments of $0.2$. Use your table values to evaluate the following limits: $\lim \limits_{x\rightarrow-1^-}f(x)$ and $\lim \limits_{x\rightarrow-1^+}f(x)$

4. What happens in the table at $x = −1$? How is this reflected in the graph?