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{\scshape Math 2300} \hfill {\scshape \Large Project \#1} \hfill {\scshape Fall 2017}
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Write a proof for each of the four limit statements below using the $\epsilon$-$\delta$ definition. Your word choice and style should be unique to you and your thought process, but you will want to follow a similar outline to the examples in the book and/or the video. It is worth having a look at the \href{https://www.overleaf.com/latex/templates/sample-latex-document-with-mathematic-scratch-work/twhrqbrjvqgj#.Wb7-S3eGPdR}{sample Overleaf document}, even if you don't intend to use the system; the first example solution is a proof.
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\begin{enumerate}
\item $\displaystyle{\lim_{x \rightarrow -2} \frac{x}{2} + 3 = 2}$.
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\item $\displaystyle{\lim_{x \rightarrow 1} x^2 + 4 = 5}$.
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\item $\displaystyle{\lim_{x \rightarrow 2} x^3 - 1 = 7}$.
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\item $\displaystyle{\lim_{x \rightarrow 0} e^{2x} - 1 = 0}$
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\end{enumerate}
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