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\textbf{Math 126: Calculus II}
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\textbf{Quiz 3}\quad \textsl{September 14, 1999}
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1.  Calculate the following, carefully {\bf showing your work} and {\bf
all} important steps.

\textsl{a)} $\lim_{t\to0}\,\frac{t\sin t}{1-\cos t}$.

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\textsl{b)} $\lim_{x\to0}x^x.$

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2. Consider the functions $f(x)=x^2e^x$ and $g(x)=e^{2x}$. Which one grows faster as $x\longrightarrow\infty$ ?
Carefully {\bf show your work} and {\bf all} important steps.


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