How could one prove the following limit identity: [math]\displaystyle\lim_{n \rightarrow \infty} \left( \dfrac{\sum\limits_{i = 0}^{2^n} \left( \binom{2^{n + 1}}{2i} \cdot x^{2^n - i} \right)}{2^{n + 1} \cdot \prod\limits_{k = 0}^{n - 1} \
Rendering Mathematics Equations (MathTex, MML, Latex) - Markdown Monster Documentation
How to display binomial coefficient in LaTeX document?
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Art of Problem Solving
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Binomial Coefficient -- from Wolfram MathWorld
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Latex 公式
amsmath - Overly large parentheses for binomial coefficient with mtpro2 - TeX - LaTeX Stack Exchange
How to display binomial coefficient in LaTeX document?
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