Wiki-Quellcode von Lösung Globalverlauf untersuchen
Version 13.1 von Niklas Wunder am 2024/10/27 10:01
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author | version | line-number | content |
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1 | (% style="list-style:alphastyle" %) | ||
2 | 1. ((({{formula}} | ||
3 | \begin{align*} | ||
4 | \lim_{x\rightarrow -\infty} -x^3= + \infty \\ | ||
5 | \lim_{x\rightarrow +\infty} -x^3= + \infty | ||
6 | \end{align*} | ||
7 | {{/formula}} | ||
8 | ))) | ||
9 | |||
10 | |(% colspan="2" %)((( | ||
11 | (% style="list-style:alphastyle" start="2" %) | ||
12 | 1.((( {{formula}} | ||
13 | \begin{align*} | ||
14 | \lim_{x\rightarrow -\infty} 2x^4+3x^3-7x^2+x=\lim_{x\rightarrow -\infty} 2x^4= + \infty \\ | ||
15 | \lim_{x\rightarrow +\infty} 2x^4+3x^3-7x^2+x=\lim_{x\rightarrow +\infty} 2x^4= + \infty | ||
16 | \end{align*} | ||
17 | {{/formula}} | ||
18 | ))) | ||
19 | |||
20 | |(% colspan="2" %)((( | ||
21 | (% style="list-style:alphastyle" start="3" %) | ||
22 | 1. ((({{formula}} | ||
23 | \begin{align*} | ||
24 | \lim_{x\rightarrow -\infty} x^3+100x^2-0{,}01 x^6+1000=\lim_{x\rightarrow -\infty} -0{,}01 x^6= - \infty \\ | ||
25 | \lim_{x\rightarrow +\infty} x^3+100x^2-0{,}01 x^6+1000=\lim_{x\rightarrow +\infty} -0{,}01 x^6= - \infty | ||
26 | \end{align*} | ||
27 | {{/formula}} | ||
28 | ))) | ||
29 | |||
30 | |||
31 | |(% colspan="2" %)((( | ||
32 | (% style="list-style:alphastyle" start="4" %) | ||
33 | 1. ((({{formula}} | ||
34 | \begin{align*} | ||
35 | \lim_{x\rightarrow -\infty} x\cdot(x+7)\cdot(x-7)=\lim_{x\rightarrow -\infty} x^3= - \infty \\ | ||
36 | \lim_{x\rightarrow +\infty} x\cdot(x+7)\cdot(x-7)=\lim_{x\rightarrow +\infty} x^3= + \infty | ||
37 | \end{align*} | ||
38 | {{/formula}} | ||
39 | ))) |