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Formula:2968

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Digital Library of Mathematical Functions ID 6.8.E1

1 2 ⁢ ln ⁡ ( 1 + 2 x ) < e x ⁢ E 1 ⁡ ( x ) < ln ⁡ ( 1 + 1 x ) , 1 2 1 2 𝑥 superscript 𝑒 𝑥 exponential-integral 𝑥 1 1 𝑥 {\displaystyle{\displaystyle\frac{1}{2}\ln\left(1+\frac{2}{x}\right)<e^{x}E_{1% }\left(x\right)<\ln\left(1+\frac{1}{x}\right),}}


Constraint(s)

Symbols List

  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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