Version 13.1 von Niklas Wunder am 2024/10/27 10:01

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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 )))