=for timestamp
Mi Jan 19 19:28:19 CET 2005

=head3 32. Hausaufgabe

=head4 Selbstgestellte Aufgabe

M<f(x) = \begin{cases}
{}  x       & \text{f"ur } -1 \leq x \leq 1; \\
{}  x^2 - x & \text{f"ur } x E<gt> 1;
\end{cases}>

M<\lim\limits_{x \to 1+} = \lim\limits_{h \to 0} f(1 + h) = \lim\limits_{h \to
0} 1 + 2h + h^2 - 1 - h = \lim\limits_{h \to 0} h^2 + h = 0 + 0 = 0;>

M<\lim\limits_{x \to 1-} = \lim\limits_{h \to 0} f(1 - h) = \lim\limits_{h \to
0} 1 - h = 1 - 0 = 1;>