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Zuletzt geändert von Holger Engels am 2024/10/27 12:19
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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 1. ((({{formula}}
10 \begin{align*}
11 \lim_{x\rightarrow -\infty} 2x^4+3x^3-7x^2+x=\lim_{x\rightarrow -\infty} 2x^4= + \infty \\
12 \lim_{x\rightarrow +\infty} 2x^4+3x^3-7x^2+x=\lim_{x\rightarrow +\infty} 2x^4= + \infty
13 \end{align*}
14 {{/formula}}
15 )))
16 1. ((({{formula}}
17 \begin{align*}
18 \lim_{x\rightarrow -\infty} x^3+100x^2-0{,}01 x^6+1000=\lim_{x\rightarrow -\infty} -0{,}01 x^6= - \infty \\
19 \lim_{x\rightarrow +\infty} x^3+100x^2-0{,}01 x^6+1000=\lim_{x\rightarrow +\infty} -0{,}01 x^6= - \infty
20 \end{align*}
21 {{/formula}}
22 )))
23 1. ((({{formula}}
24 \begin{align*}
25 \lim_{x\rightarrow -\infty} x\cdot(x+7)\cdot(x-7)=\lim_{x\rightarrow -\infty} x^3= - \infty \\
26 \lim_{x\rightarrow +\infty} x\cdot(x+7)\cdot(x-7)=\lim_{x\rightarrow +\infty} x^3= + \infty
27 \end{align*}
28 {{/formula}}
29 )))