Summe/Differenz zweier Funktionen
\( \mathop {\lim }\limits_{x \to g} \left[ { {f_1}(x) \pm {f_2}(x)} \right] = \mathop {\lim }\limits_{x \to g} {f_1}(x) \pm \mathop {\lim}\limits_{x \to g} {f_2}(x) \) Gl. 21
Produkt zweier Funktionen
\( \mathop {\lim }\limits_{x \to g} \left[ { {f_1}(x) \cdot {f_2}(x)} \right] = \mathop {\lim }\limits_{x \to g} {f_1}(x) \cdot \mathop{\lim }\limits_{x \to g} {f_2}(x) \) Gl. 22
Quotienten zweier Funktionen
\( \mathop {\lim }\limits_{x \to g} \left[ {\frac{ { {f_1}(x)} }{ { {f_2}(x)} } } \right] = \frac{ {\mathop {\lim }\limits_{x \to g} {f_1}(x)} }{ {\mathop {\lim }\limits_{x \to g} {f_2}(x)} } \quad \text{ wenn } \quad \mathop {\lim }\limits_{x \to g} {f_2}(x) \ne 0 \) Gl. 23