Zuletzt geändert von Holger Engels am 2025/03/31 21:42

Von Version 163.1
bearbeitet von Martin Rathgeb
am 2024/10/15 00:07
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Auf Version 166.1
bearbeitet von Martin Rathgeb
am 2024/10/15 00:09
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

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Inhalt
... ... @@ -44,24 +44,24 @@
44 44  1. Randverhalten: Verhalten im Unendlichen
45 45  1.1 Verhalten gegen plus Unendlich ({{formula}}+\infty{{/formula}})
46 46  ((((% class="border" %)
47 -|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+10{{/formula}}| {{formula}}+100{{/formula}}| {{formula}}+1000{{/formula}}| {{formula}}+10^6{{/formula}}| {{formula}}+10^9{{/formula}}| {{formula}}+10^{12}{{/formula}}| 0
48 -|={{formula}}f(x){{/formula}}||||||||
47 +|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+10{{/formula}}| {{formula}}+100{{/formula}}| {{formula}}+1000{{/formula}}| {{formula}}+10^6{{/formula}}| {{formula}}+10^9{{/formula}}| {{formula}}+10^{12}{{/formula}}|
48 +|={{formula}}f(x){{/formula}}||||||||0
49 49  )))
50 50  1.1 Verhalten gegen minus Unendlich ({{formula}}-\infty{{/formula}})
51 51  ((((% class="border" %)
52 -|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-10{{/formula}}| {{formula}}-100{{/formula}}| {{formula}}-1000{{/formula}}| {{formula}}-10^6{{/formula}}| {{formula}}-10^9{{/formula}}|{{formula}}-10^{12}{{/formula}}
53 -|={{formula}}f(x){{/formula}}|||||||
52 +|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-10{{/formula}}| {{formula}}-100{{/formula}}| {{formula}}-1000{{/formula}}| {{formula}}-10^6{{/formula}}| {{formula}}-10^9{{/formula}}|{{formula}}-10^{12}{{/formula}}|
53 +|={{formula}}f(x){{/formula}}||||||||0
54 54  )))
55 55  
56 56  1. Randverhalten: Verhalten nahe der Definitionslücke ({{formula}}x \approx 0{{/formula}})
57 57  1.1 Verhalten links bei der Definitionslücke ({{formula}}x \approx 0{{/formula}} mit {{formula}}x<0{{/formula}})
58 58  ((((% class="border" %)
59 -|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-0,1{{/formula}}| {{formula}}-0,01{{/formula}}| {{formula}}-0,001{{/formula}}| {{formula}}-10^{-6}{{/formula}}| {{formula}}-10^{-9}{{/formula}}| {{formula}}-10^{-12}{{/formula}}
59 +|={{formula}}x{{/formula}}| {{formula}}-1{{/formula}}| {{formula}}-0,1{{/formula}}| {{formula}}-0,01{{/formula}}| {{formula}}-0,001{{/formula}}| {{formula}}-10^{-6}{{/formula}}| {{formula}}-10^{-9}{{/formula}}| {{formula}}-10^{-12}{{/formula}}|0
60 60  |={{formula}}f(x){{/formula}}|||||||
61 61  )))
62 62  1.1 Verhalten rechts bei der Definitionslücke ({{formula}}x \approx 0{{/formula}} mit {{formula}}x>0{{/formula}})
63 63  ((((% class="border" %)
64 -|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+0,1{{/formula}}| {{formula}}+0,01{{/formula}}| {{formula}}+0,001{{/formula}}| {{formula}}+10^{-6}{{/formula}}| {{formula}}+10^{-9}{{/formula}}| {{formula}}+10^{-12}{{/formula}}
64 +|={{formula}}x{{/formula}}| {{formula}}+1{{/formula}}| {{formula}}+0,1{{/formula}}| {{formula}}+0,01{{/formula}}| {{formula}}+0,001{{/formula}}| {{formula}}+10^{-6}{{/formula}}| {{formula}}+10^{-9}{{/formula}}| {{formula}}+10^{-12}{{/formula}}|0
65 65  |={{formula}}f(x){{/formula}}|||||||
66 66  )))
67 67  1. Erkennst du eine Symmetrie?