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\date{Due Tuesday, 3/12}
\title{Math 104 Homework 7 (Vaintrob)}
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\section{Reading Exercise 1}
See 14.6 on page 98 (comparison test). Without looking, see if you can prove (ii) using the contrapositive to (i) for $b_n\ge a_n\ge 0$ (so assuming in addition both are positive, a minor assumption). Try using the monotonicity of the partial sums and part (i).

\section{Reading Exercise 2}
Look ahead at Definition 17.2. Say $f$ is a continuous function defined on all of $\R$ such that $|f(x)|<|x|$ (so for example $f(x) = x$ of $f(x) = \sqrt{|x|}$. Show that $f$ is continuous at 0 using definition 17.1, then using definition 17.2 (hint: try $\epsilon =\delta$).
\section{14.1}
\section{14.3}
\section{14.6}
\section{14.13}
\section{15.6}
\section{Extra credit: 16.9}


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