\item % section 2.3, extra 3.
Can the following be the definition for $\lim_{x\to c} f(x) \neq L$?
Explain.
\begin{quote}
For any $\delta >0$, there exists an $\epsilon_0 > 0$ and
an $x_0 \in (c-\delta, c)\cup (c, c+\delta)$ such that
$|f(x_0) - L | \geq \epsilon_0$.
\end{quote}

% Homework Assignment for Week 02   

\item % One-sided limit
% Section 2.4: Problems 26, 34, 42
Section 2.4: Problems 26, 34, 42, 48.

\item % variants of (sin t)/t
Chap 2: Problems 25 (Hint: $1-\cos x = 2 \sin^2 {x\over 2}$), 26
on page 121.

\item % Continuity
Section 2.5: problems 64, 67, 77 (Need not graph it).

\item % Limits involving infinity
Section 2.6: problems 92, 93, % 94,
100 (need not graph it, just find all horizontal, vertical
and oblique asymptotes).

\item % Section 2.6: Limits involving infinity
Read Definition of the limits in p87, p104, p110 and p116.
Then verify the following statements using
formal definition of limits:
\begin{description}
\item[a.]  % (a) is same as section 2.6: problem 94.
$$
\lim_{x \to 0^+} {1\over x} = \infty
$$
\item[b.]
$$
\lim_{x \to \infty} -x^2 = -\infty
$$
\end{description}