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Display information for equation id:math.1084.0 on revision:1084

* Page found: Geometrische Reihe (eq math.1084.0)

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Hash: 26cd273fd933b0d4d9c69efa9dbc6492

TeX (original user input):

\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{k=0}^{n}{{{x}^{k}}\to \frac{1}{1-x}}\forall \left| x \right|<1

TeX (checked):

{\underset {n\to \infty }{\mathop {\lim } }}\,\sum \limits _{k=0}^{n}{{{x}^{k}}\to {\frac {1}{1-x}}}\forall \left|x\right|<1

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.146 KB / 380 B) :

limnk=0nxk11x|x|<1
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="OP"><mi>lim</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi><mo accent="false">&#x2192;</mo><mi mathvariant="normal">&#x221E;</mi></mrow></munder></mrow><mspace width="0.167em"></mspace><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo accent="false">&#x2192;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>&#x2212;</mo><mi>x</mi></mrow></mrow></mfrac></mrow></mrow><mi mathvariant="normal">&#x2200;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>&lt;</mo><mn>1</mn></mstyle></mrow></math>

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Identifiers

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  • k
  • n
  • x
  • k
  • x
  • x

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