DLMF:18.6.E4 (Q5567)

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DLMF:18.6.E4
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    lim λ C n ( λ ) ( x ) C n ( λ ) ( 1 ) = x n , subscript 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 1 superscript 𝑥 𝑛 {\displaystyle{\displaystyle\lim_{\lambda\to\infty}\frac{C^{(\lambda)}_{n}% \left(x\right)}{C^{(\lambda)}_{n}\left(1\right)}=x^{n},}}
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