0.0.1 ↑ Estels 2. Problem
\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};