Formula:3284

Digital Library of Mathematical Functions ID 8.11.E13

${\displaystyle{\displaystyle\lim_{n\to\infty}\frac{e_{n}(nx)}{e^{nx}}=\begin{cases}0,&x>1,\\ \tfrac{1}{2},&x=1,\\ 1,&0\leq x<1.\end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle e_{n}(z)}}$: functions (locally)
 

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