Fixed Incorrect Formula
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@@ -44,12 +44,41 @@
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align(left, block(e))
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}
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#let colorAllgemein = color.hsl(105.13deg, 92.13%, 75.1%)
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#let colorFolgen = color.hsl(202.05deg, 92.13%, 75.1%)
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#let colorReihen = color.hsl(280deg, 92.13%, 75.1%)
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#let colorAbleitung = color.hsl(356.92deg, 92.13%, 75.1%)
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#let colorIntegral = color.hsl(34.87deg, 92.13%, 75.1%)
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#columns(5, gutter: 2mm)[
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#columns(4, gutter: 2mm)[
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#subHeading(fill: colorAllgemein, it: [Allgemeins])
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#grid(
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columns: (auto, auto),
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row-gutter: 2mm,
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column-gutter: 3mm,
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[Dreiecksungleichung], [
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$abs(x + y) <= abs(x) + abs(y)$ \
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$abs(abs(x) - abs(y)) <= abs(x - y)$
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],
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[Cauchy-Schwarz-Ungleichung], [
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$abs(x dot y) <= abs(abs(x) dot abs(y))$
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],
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[Geometrische Summenformel], [
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#MathAlignLeft($ sum_(k=1)^(n) k = (n(n+1))/2 $)
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],
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[Bernoulli-Ungleichung ], [
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$(1 + a)^n >= 1 + n a$
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],
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[Binomialkoeffizient], [
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$binom(n, k) = (n!)/(k!(n-k)!)$
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],
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[Binomische Formel], [
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#MathAlignLeft($ (a + b)^n = sum^(n)_(k=0) binom(n,k) a^(n-k) b^k $)
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],
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[Fakultäten], [$ 0! = 1! = 1 $],
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)
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#subHeading(fill: colorFolgen, it: [Folgen])
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$ lim_(x -> infinity) a_n $
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@@ -63,11 +92,11 @@
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#grid(columns: (1fr, 1fr),
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gutter: 1mm,
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row-gutter: 2mm,
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align(top+center, [*Fallend*]), align(top+center, [*Fallend*]),
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align(top+center, [*Fallend*]), align(top+center, [*Steigend*]),
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[$ a_(n+1) <= a_(n) $],
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[$ a_(n+1) >= a_(n) $],
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[$ a_(n+1)/a_(n) > 1 $],
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[$ a_(n+1)/a_(n) < 1 $],
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[$ a_(n+1)/a_(n) > 1 $],
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)
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*Konvergentz Allgemein*
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