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Mo Mär 14 20:05:07 CET 2005

=head3 Estels 2. Problem

M<\lim\limits_{h \to 0+} \dfrac{\sqrt{h+1} - 1}{h} = \lim\limits_{h \to 0+}
\dfrac{\left(\sqrt{h+1} - 1\right)\left(\sqrt{h+1} +
1\right)}{h\left(\sqrt{h+1} + 1\right)} = \lim\limits_{h \to 0+} \dfrac{h + 1 -
1}{h\left(\sqrt{h+1} + 1\right)} = \lim\limits_{h \to 0+} \dfrac{1}{\sqrt{h+1}
+ 1} = \dfrac{1}{\sqrt{0+1} + 1} = \dfrac{1}{2};>