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	Name: \hrulefill & & Math 1441 Quiz 2 \\[0.2cm]
	\hspace{8cm} & & 
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\textbf{1.} (10 pts) Find the limit of the function $f(x)$, or explain why the limit does not exist. 
\begin{minipage}[h]{0.1\linewidth}
\begin{flalign*}
&(1)\ \lim_{x\rightarrow 0} f(x)\\
&(2)\ \lim_{x\rightarrow 1} f(x)\\
&(3)\ \lim_{x\rightarrow 0.5} f(x)\\
&(4)\ \lim_{x\rightarrow 1^-} f(x)\\
&(5)\ \lim_{x\rightarrow -1^+} f(x)\\
\end{flalign*}
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\textbf{2.} (6 pts) Find the limit. Justify your answer. 
\begin{flalign*}
&(1)\ \lim_{x\rightarrow 1}\, (15x^3-25x^2+x)\quad 
&(2)\ \lim_{x\rightarrow -1}\, \frac{x^2+x}{x^2+2x}\hspace{5cm}\\
\end{flalign*}\\[4cm]

\textbf{3.} (4 pts) Find the limit. Show your work.
$$\lim_{x\rightarrow 2} \frac{x^2-4x+4}{x-2}$$

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