MR 03 Lösung rlk

Diese Lösung für MR_03 ist noch nicht vollständig, ich habe noch nicht alles eingetippt, was ich mir überlegt habe und ich denke weiter nach...

Die folgenden 14 Ausdrücke haben den Wert 50

Verschiedenes (6)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\cdot 5^2}
$7^{2}+1$
${\frac {1}{(\sin(\operatorname {arccot}(7))^{2}}}$
$2(4!+1)$
$\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left\lfloor {\sqrt {\left(\left(\left(1+1+1\right)!\right)!\right)!}}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor }}\right\rfloor$ [HAKMEM #34]
$\left\lfloor {\frac {\phi ^{10}-\phi ^{5}}{\sqrt {5}}}\right\rfloor$ mit dem Verhältnis $\phi ={\frac {1+{\sqrt {5}}}{2}}$ des goldenen Schnitts

Grenzwerte (3)

$\lim _{x\to 0}{\frac {\sin(100x)}{2x}}$
$\lim _{x\to 0}150\cdot {\frac {\sinh(x)-\sin(x)}{x^{3}}}$
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lim_{x\to 0}100\cdot\frac{\tan(x)-\sin(x)}{x^3}}

Summen (4)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=0}^\infty\left(\frac{49}{50}\right)^n}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=-\infty}^\infty\left(\frac{7^2}{51}\right)^{|n|}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3+\sum_{p\in\mathbb{P}\land p\leq 17}(p-3)}
$\ln(e)+\sum _{n=0}^{\infty }n\left({\frac {6}{7}}\right)^{n+\exp(\mathbf {i} \pi )}$

Integrale (2)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \displaystyle\int_1^{e^{50}}\frac{1}{x}\,\mathrm{d}x}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int_0^\pi\sin(x)\,\mathrm{d}x \cdot\int_0^\sqrt{10} y \cdot y \cdot y \,\mathrm{d}y}