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Evaluate each of the following limits \textbf{using the methods from Section 3.1}. This means you should identify a function $f(x)$ and a point $a$ such that the limit in the problem is equivalent to computing $f'(a)$. Then, use derivative rules to compute each derivative, and by doing so, compute each limit. 

\begin{enumerate}
    \item $\displaystyle \lim_{x \rightarrow 3} \frac{(x^2 + 3x + 2) - 20}{x-3}$. Check your answer to this problem using methods from Chapter 2. 
    \item $\displaystyle \lim_{h \rightarrow 0} \frac{e^{2+h} - e^2}{h}$
    \item $\displaystyle \lim_{y \rightarrow 2} \frac{y^5 + y^4 - 4y^3 - 3y^2 - 4}{y-2}$
\end{enumerate}

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