DLMF:8.11.E13 (Q2586)

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DLMF:8.11.E13
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    lim n e n ( n x ) e n x = { 0 , x > 1 , 1 2 , x = 1 , 1 , 0 x < 1 . subscript 𝑛 subscript 𝑒 𝑛 𝑛 𝑥 superscript 𝑒 𝑛 𝑥 cases 0 𝑥 1 1 2 𝑥 1 1 0 𝑥 1 {\displaystyle{\displaystyle\lim_{n\to\infty}\frac{e_{n}(nx)}{e^{nx}}=\begin{% cases}0,&x>1,\\ \tfrac{1}{2},&x=1,\\ 1,&0\leq x<1.\end{cases}}}
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    DLMF:8.11.E13
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    Warning: Falling back to standard tex;
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2ahdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C8.S1.XMD1.m1ddec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C8.S1.XMD6.m1bdec
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