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\textbf{Math 126: Calculus II}
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\textbf{Quiz 3}\quad \textsl{September 12, 2000}
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1.  The song ``Who Let the Dogs Out?" is very popular on campus right now.
Assume the number of people who have heard the song is growing
exponentially with respect to time. Initially, only 2 people had heard the
song. After 21 days, 50 people had heard the song. How many days until the
entire student body of 10,000 people have heard the song?

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2.  Calculate the following, carefully {\bf showing your work} and {\bf
all} important steps.

$\lim_{x\to0}\,\frac{x^2}{\ln(\sec(x))}$.

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3. Consider the functions $f(x)=\ln(2x)$ and $g(x)=\log_5(x)$. As
$x\longrightarrow\infty$, does $f$ grow faster than $g$, grow at the same 
rate as $g$, or grow slower than $g$? Carefully {\bf show your work} and
{\bf all} important steps.

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