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\textbf{Math 126A: Calculus II}
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\textbf{Quiz 3}\quad \textsl{September 14, 1999}

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In both problems, be sure to \emph{show all your work and include all
important steps}.

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1.  Calculate $\lim_{t\to0}\,\frac{t\sin t}{1-\cos t}$.

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2. Determine which function, $f(x)=x^2e^x$ or $g(x)=e^{2x}$,
grows faster as $x\rightarrow\infty$.


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