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\textbf{Math 126: Calculus II}
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\textbf{Quiz 6}\quad \textsl{October 12, 1999}
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1. Evaluate

\[
\int_{-\infty}^{\infty}\frac x{(x^2+4)^{3/2}}\,dx
\]

carefully {\bf showing your work} and {\bf
all} important steps.


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2. Find the limit of the sequence

\[
a_n=\sqrt[n]{n^2+n}+\frac{n^2}{2^n}+\frac{(\ln n)^3}{\sqrt n}
\]

carefully {\bf showing your work} and {\bf
all} important steps.

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