Grenzwerte im Unendlichen
Betrachte die Graphen der drei Funktionen f, g und h. (Beachte die verschiedenen Skalen der x-Achsen bei den Graphen oben und unten.)
Vergleiche das Verhalten der drei Funktionen für immer größer werdende x-Werte („x gegen
unendlich“; „“ ).
Formuliere jeweils eine Charakterisierung dieses Verhaltens.
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)
Für immer größer werdende x-Werte...
Man schreibt:
(hier: 2)
Man sagt: "Der Limes (Grenzwert) von f(x) für x gegen unendlich ist a. Die Funktion konvergiert gegen a."
![](https://www.zahlen-kern.de/editor/equations/zgdi.png)
Für immer größer werdende x-Werte...
Man schreibt:
Man sagt: "Der Limes (Grenzwert) von g(x) für x gegen unendlich ist . Die Funktion divergiert bestimmt."
![](https://www.zahlen-kern.de/editor/equations/101ra.png)
Für immer größer werdende x-Werte...
Man sagt: "Der Limes (Grenzwert) von h(x) für x gegen unendlich existiert nicht. Die Funktion divergiert unbestimmt."
Ordne den Graphen die unten aufgeführten Funktionsterme zu.
Zur Auswahl stehende Funktionsterme:
Der zugehörige Graph zum Funktionsterm (I) ist
Der zugehörige Graph zum Funktionsterm (II) ist
Der zugehörige Graph zum Funktionsterm (III) ist
Der zugehörige Graph zum Funktionsterm (IV) ist
Der zugehörige Graph zum Funktionsterm (V) ist
Bestimme anschließend die Art des Verhaltens für und für und den Grenzwert.